%0 Journal Article
%T New class of integral bipartite graphs with large diameter
%J Transactions on Combinatorics
%I University of Isfahan
%Z 2251-8657
%A Fiuj Laali, Alireza
%A Haj Seyyed Javadi, Hamid
%D 2018
%\ 03/01/2018
%V 7
%N 1
%P 13-17
%! New class of integral bipartite graphs with large diameter
%K Integral graph
%K Diameter
%K root
%R 10.22108/toc.2016.20738
%X In this paper, we construct a new class of integral bipartite graphs (not necessarily trees) with large even diameters. In fact, for every finite set $A$ of positive integers of size $k$ we construct an integral bipartite graph $G$ of diameter $2k$ such that the set of positive eigenvalues of $G$ is exactly $A$. This class of integral bipartite graphs has never found before.
%U https://toc.ui.ac.ir/article_20738_4ef9fcdc49725050979fd7bbc4a6836d.pdf