Article ID Journal Published Year Pages File Type
4653288 European Journal of Combinatorics 2016 12 Pages PDF
Abstract

It is known that the number of vertices of a graph of diameter two cannot exceed d2+1d2+1. In this contribution we give a new lower bound for orders of Cayley graphs of diameter two in the form C(d,2)>0.684d2C(d,2)>0.684d2 valid for all degrees d≥360756. The result is a significant improvement of currently known results on the orders of Cayley graphs of diameter two.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
Authors
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