On the First Eigenvalue of Bipartite Graphs

Details On the First Eigenvalue of Bipartite Graphs On the First Eigenvalue of Bipartite Graphs

2008-09-09

arxiv.org/abs/0809.1615v1

Mathematics

Combinatorics

22 pages, 2 figures

Scientific paper

In this paper we study the maximum value of the largest eigenvalue for simple
bipartite graphs, where the number of edges is given and the number of vertices
on each side of the bipartition is given. We state a conjectured solution,
which is an analog of the Brualdi- Hoffman conjecture for general graphs, and
prove the conjecture in some special cases.

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