A note on Edge Isoperimetric Numbers and Regular Graphs

Edouard Bonnet (1) , Florian Sikora (2)

1 SZTAKI - Institute for Computer Science and Control [Budapest]
2 LAMSADE - Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision

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.

Mots clés: graphs; symmetric property; Bezrukov

Domaines: Informatique [cs]

Edouard Bonnet, Florian Sikora. A note on Edge Isoperimetric Numbers and Regular Graphs. International Journal of Foundations of Computer Science, 2016, 27 (6), ⟨10.1142/S0129054116500283⟩. ⟨hal-01505500⟩