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Combinatorial dual graph, combinatorically dual graph: различия между версиями

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'''Combinatorial dual graph, combinatorically dual graph''' --- комбинаторно двойственный граф.  
'''Combinatorial dual graph, combinatorically dual graph''' — ''[[комбинаторно двойственный граф]].''


A graph <math>G</math> is a '''combinatorial dual graph''' to a graph <math>G^{\ast}</math>, if there exists a one-to-one
A [[graph, undirected graph, nonoriented graph|graph]] <math>\,G</math> is a '''combinatorial dual graph''' to a graph <math>\,G^{\ast}</math>, if there exists a one-to-one mapping <math>\,e: E(G) \rightarrow E(G^{\ast})</math> of the [[edge]] set of <math>\,G</math> onto the edge set of <math>\,G^{\ast}</math> such that <math>\,C</math> is a ''[[circuit]]'' of <math>\,G</math> if and only if <math>\,e(C)</math> is a ''cocircuit'' of <math>\,G^{\ast}</math>.
mapping <math>e: E(G) \rightarrow E(G^{\ast})</math> of the edge set of <math>G</math> onto
 
the edge set of <math>G^{\ast}</math> such that <math>C</math> is a ''circuit'' of <math>G</math> if and only if <math>e(C)</math> is a ''cocircuit'' of <math>G^{\ast}</math>.
==Литература==
 
* Евстигнеев В.А., Касьянов В.Н. Словарь по графам в информатике. — Новосибирск: Сибирское Научное Издательство, 2009.