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A note on Edge Isoperimetric Numbers and Regular Graphs

Bonnet, Édouard; Sikora, Florian (2016), A note on Edge Isoperimetric Numbers and Regular Graphs, International Journal of Foundations of Computer Science, 27, 6, p. 771-774. 10.1142/S0129054116500283

Type
Article accepté pour publication ou publié
External document link
https://arxiv.org/abs/1601.05190
Date
2016
Journal name
International Journal of Foundations of Computer Science
Volume
27
Number
6
Publisher
World Scientific
Pages
771-774
Publication identifier
Metadata
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Author(s)
Bonnet, Édouard cc
Institute for Computer Science and Control [Budapest] [SZTAKI]
Sikora, Florian cc
Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Abstract (EN)
This note resolves an open problem asked by Bezrukov in the open problem session of IWOCA 2014. It shows an equivalence between regular graphs and graphs for which a sequence of invariants presents some symmetric property. We extend this result to a few other sequences.
Subjects / Keywords
graphs; symmetric property; Bezrukov
JEL
C65 - Miscellaneous Mathematical Tools