Eigenvalues and forbidden subgraphs I

Details Eigenvalues and forbidden subgraphs I Eigenvalues and forbidden subgraphs I

2006-08-14

arxiv.org/abs/math/0608329v2

Mathematics

Combinatorics

Some calculation errors in the first version are corrected

Scientific paper

We present sharp inequalities relating the number of vertices, edges, and
triangles of a graph to the smallest eigenvalue of its adjacency matrix and the
largest eigenvalue of its Laplacian.

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