University of IsfahanTransactions on Combinatorics2251-86577120180301New class of integral bipartite graphs with large diameter13172073810.22108/toc.2016.20738ENAlirezaFiuj LaaliShahed university, Tehran, Iran.HamidHaj Seyyed JavadiShahed university, Tehran, Iran.Journal Article20160204In 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.https://toc.ui.ac.ir/article_20738_4ef9fcdc49725050979fd7bbc4a6836d.pdf