Article ID Journal Published Year Pages File Type
4600119 Linear Algebra and its Applications 2013 9 Pages PDF
Abstract

The rank of a graph G is defined to be the rank of its adjacency matrix. A connected graph G of rank n is called long if it has maximum diameter among all connected graphs with rank n. In this paper, we characterize the long graphs of rank n, for n an arbitrary positive integer.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory