Article ID Journal Published Year Pages File Type
4647705 Discrete Mathematics 2012 4 Pages PDF
Abstract

It is shown in this work that if graph GG has degree sequence d1≥d2≥⋯≥dn≥2d1≥d2≥⋯≥dn≥2 with ∑i=1l(di+dn−i−1)>l(n+2) holding for every 1≤l≤n/2−21≤l≤n/2−2, then it is λ′λ′-optimal. The lower bound on the degree-summation is exemplified sharp. This observation generalizes the corresponding results of Bollobás on maximal edge connectivity of graphs.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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