ON SIZE, ORDER, DIAMETER AND VERTEX-CONNECTIVITY

Yıl 2019, Cilt: 1 Sayı: 1, 21 - 24, 02.01.2019

Sheunesu Munyira , Simon Mukwembi

https://izlik.org/JA26KB62HF

Öz

Let G be a nite connected graph. We give an asymptotically sharp upper bound on the size of G in terms of its order, diameter and vertex-connectivity. The result is a strengthening of an old classical theorem of Ore [5] if vertex-connectivity is prescribed and constant.

Anahtar Kelimeler

size , vertex-connectivity , diameter

Kaynakça

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