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*       www.FindStat.org - The Combinatorial Statistic Finder               *
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*       Copyright (C) 2019 The FindStatCrew <info@findstat.org>             *
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Statistic identifier: St000310

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Collection: Graphs

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Description: The minimal degree of a vertex of a graph.

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References: 

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Code:
def statistic(G):
    return min(G.degree_sequence())

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Statistic values:

([],1)                                                                                          => 0
([],2)                                                                                          => 0
([(0,1)],2)                                                                                     => 1
([],3)                                                                                          => 0
([(1,2)],3)                                                                                     => 0
([(0,2),(1,2)],3)                                                                               => 1
([(0,1),(0,2),(1,2)],3)                                                                         => 2
([],4)                                                                                          => 0
([(2,3)],4)                                                                                     => 0
([(1,3),(2,3)],4)                                                                               => 0
([(0,3),(1,3),(2,3)],4)                                                                         => 1
([(0,3),(1,2)],4)                                                                               => 1
([(0,3),(1,2),(2,3)],4)                                                                         => 1
([(1,2),(1,3),(2,3)],4)                                                                         => 0
([(0,3),(1,2),(1,3),(2,3)],4)                                                                   => 1
([(0,2),(0,3),(1,2),(1,3)],4)                                                                   => 2
([(0,2),(0,3),(1,2),(1,3),(2,3)],4)                                                             => 2
([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)                                                       => 3
([],5)                                                                                          => 0
([(3,4)],5)                                                                                     => 0
([(2,4),(3,4)],5)                                                                               => 0
([(1,4),(2,4),(3,4)],5)                                                                         => 0
([(0,4),(1,4),(2,4),(3,4)],5)                                                                   => 1
([(1,4),(2,3)],5)                                                                               => 0
([(1,4),(2,3),(3,4)],5)                                                                         => 0
([(0,1),(2,4),(3,4)],5)                                                                         => 1
([(2,3),(2,4),(3,4)],5)                                                                         => 0
([(0,4),(1,4),(2,3),(3,4)],5)                                                                   => 1
([(1,4),(2,3),(2,4),(3,4)],5)                                                                   => 0
([(0,4),(1,4),(2,3),(2,4),(3,4)],5)                                                             => 1
([(1,3),(1,4),(2,3),(2,4)],5)                                                                   => 0
([(0,4),(1,2),(1,3),(2,4),(3,4)],5)                                                             => 1
([(1,3),(1,4),(2,3),(2,4),(3,4)],5)                                                             => 0
([(0,4),(1,3),(2,3),(2,4),(3,4)],5)                                                             => 1
([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)                                                       => 1
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)                                                       => 2
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)                                                 => 2
([(0,4),(1,3),(2,3),(2,4)],5)                                                                   => 1
([(0,1),(2,3),(2,4),(3,4)],5)                                                                   => 1
([(0,3),(1,2),(1,4),(2,4),(3,4)],5)                                                             => 1
([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)                                                       => 2
([(0,3),(0,4),(1,2),(1,4),(2,3)],5)                                                             => 2
([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5)                                                       => 2
([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)                                                 => 2
([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)                                                       => 1
([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)                                                       => 0
([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)                                                 => 1
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)                                           => 2
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5)                                                 => 2
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)                                           => 3
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)                                     => 3
([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)                               => 4
([],6)                                                                                          => 0
([(4,5)],6)                                                                                     => 0
([(3,5),(4,5)],6)                                                                               => 0
([(2,5),(3,5),(4,5)],6)                                                                         => 0
([(1,5),(2,5),(3,5),(4,5)],6)                                                                   => 0
([(0,5),(1,5),(2,5),(3,5),(4,5)],6)                                                             => 1
([(2,5),(3,4)],6)                                                                               => 0
([(2,5),(3,4),(4,5)],6)                                                                         => 0
([(1,2),(3,5),(4,5)],6)                                                                         => 0
([(3,4),(3,5),(4,5)],6)                                                                         => 0
([(1,5),(2,5),(3,4),(4,5)],6)                                                                   => 0
([(0,1),(2,5),(3,5),(4,5)],6)                                                                   => 1
([(2,5),(3,4),(3,5),(4,5)],6)                                                                   => 0
([(0,5),(1,5),(2,5),(3,4),(4,5)],6)                                                             => 1
([(1,5),(2,5),(3,4),(3,5),(4,5)],6)                                                             => 0
([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)                                                       => 1
([(2,4),(2,5),(3,4),(3,5)],6)                                                                   => 0
([(0,5),(1,5),(2,4),(3,4)],6)                                                                   => 1
([(1,5),(2,3),(2,4),(3,5),(4,5)],6)                                                             => 0
([(0,5),(1,5),(2,3),(3,4),(4,5)],6)                                                             => 1
([(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                                             => 0
([(1,5),(2,4),(3,4),(3,5),(4,5)],6)                                                             => 0
([(0,5),(1,5),(2,4),(3,4),(4,5)],6)                                                             => 1
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)                                                       => 1
([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                                       => 0
([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6)                                                       => 1
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                                 => 1
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                                                       => 0
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)                                                       => 1
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                                                 => 1
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                                 => 0
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                                 => 1
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                           => 1
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                                           => 2
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                     => 2
([(0,5),(1,4),(2,3)],6)                                                                         => 1
([(1,5),(2,4),(3,4),(3,5)],6)                                                                   => 0
([(0,1),(2,5),(3,4),(4,5)],6)                                                                   => 1
([(1,2),(3,4),(3,5),(4,5)],6)                                                                   => 0
([(0,5),(1,4),(2,3),(3,5),(4,5)],6)                                                             => 1
([(1,4),(2,3),(2,5),(3,5),(4,5)],6)                                                             => 0
([(0,1),(2,5),(3,4),(3,5),(4,5)],6)                                                             => 1
([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)                                                       => 1
([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)                                                       => 0
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)                                                 => 1
([(1,4),(1,5),(2,3),(2,5),(3,4)],6)                                                             => 0
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)                                                       => 1
([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)                                                       => 0
([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)                                                       => 1
([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)                                                       => 0
([(0,5),(1,4),(2,3),(3,4),(3,5),(4,5)],6)                                                       => 1
([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)                                                 => 1
([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                                 => 1
([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)                                                 => 0
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)                                           => 1
([(0,5),(1,4),(2,3),(2,4),(3,5)],6)                                                             => 1
([(0,1),(2,4),(2,5),(3,4),(3,5)],6)                                                             => 1
([(0,5),(1,5),(2,3),(2,4),(3,4)],6)                                                             => 1
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)                                                       => 1
([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6)                                                       => 1
([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6)                                                       => 1
([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                                       => 1
([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6)                                                       => 1
([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)                                                 => 2
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)                                                 => 1
([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6)                                                 => 1
([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                           => 2
([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                                       => 0
([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)                                                 => 1
([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                                 => 0
([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                           => 1
([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)                                                 => 2
([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)                                           => 2
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                           => 1
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)                                           => 1
([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                           => 2
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)                                     => 2
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)                                           => 1
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                           => 0
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                           => 1
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                     => 1
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)                                     => 2
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                               => 2
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)                                                 => 1
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)                                                 => 0
([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6)                                           => 1
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)                                           => 0
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)                                     => 1
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)                                                       => 2
([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)                                                 => 2
([(0,5),(1,2),(1,4),(2,3),(3,4),(3,5),(4,5)],6)                                                 => 1
([(0,1),(0,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)                                                 => 2
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6)                                                 => 1
([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6)                                                 => 1
([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                           => 2
([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)                                           => 1
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,5),(4,5)],6)                                           => 2
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)                                     => 2
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)                                           => 2
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)                                           => 1
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                                     => 2
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                     => 2
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                               => 2
([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                     => 1
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                     => 0
([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                     => 1
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                               => 1
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6)                                     => 2
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)                                     => 2
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                               => 2
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                         => 2
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)                                     => 3
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                               => 3
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)                               => 2
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)                         => 3
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                   => 3
([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6)                                                       => 2
([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)                                                 => 1
([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)                                                 => 2
([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                                 => 1
([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)                                           => 2
([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                           => 1
([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                     => 2
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,5),(3,4),(4,5)],6)                                           => 2
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6)                                     => 2
([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                     => 1
([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                     => 2
([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                                     => 2
([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                               => 2
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                               => 3
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                         => 3
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4)],6)                                           => 2
([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6)                                           => 2
([(0,3),(0,4),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)                                     => 2
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)                               => 3
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4)],6)                                     => 3
([(0,1),(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                               => 3
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)                               => 2
([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                         => 3
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                   => 3
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)                               => 2
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                               => 2
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                         => 2
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                               => 1
([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                               => 0
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                         => 1
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                   => 2
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)             => 3
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)                         => 3
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)                         => 2
([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)                         => 3
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)                   => 3
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)                   => 4
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)             => 4
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)       => 4
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 5

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Created: Dec 07, 2015 at 19:28 by Christian Stump

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Last Updated: Dec 07, 2015 at 19:28 by Christian Stump