Article ID Journal Published Year Pages File Type
4652487 Electronic Notes in Discrete Mathematics 2009 6 Pages PDF
Abstract

A graph G on n vertices is a tight distance graph if there exists a set D⊆{1,2,…,n−1} such that V(G)={0,1,…,n−1} and ij∈E(G) if and only if |i−j|∈D. A characterization of the degree sequences of tight distance graphs is given. This characterization yields a fast method for recognizing and realizing degree sequences of tight distance graphs.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics