članak: 1 od 1  
Bulletin: Classe des sciences mathématiques et natturalles - Sciences mathématiques
2006, vol. 133, br. 31, str. 1-5
jezik rada: engleski
neklasifikovan
doi:10.2298/BMAT0631001G

Graph connectivity and Wiener index
(naslov ne postoji na srpskom)
aUniverzitet u Kragujevcu, Prirodno-matematički fakultet
bDepartment of Applied Mathematics Northwestern Polytechnical University Xi'an, Shaanxi, P. R. China

Sažetak

(ne postoji na srpskom)
The graphs with a given number n of vertices and given (vertex or edge) connectivity k, having minimum Wiener index are determined. In both cases this is Kk + (K1 U Kn-k-1), the graph obtained by connecting all vertices of the complete graph Kk with all vertices of the graph whose two components are Kn-k-1 and K1. AMS Mathematics Subject Classification (2000): 05C12, 05C40 05C35.

Ključne reči

graph connectivity; vertex-connectivity; edge-connectivity; Wiener index; extremal graphs

Reference

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