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- Sebastian M. Cioaba, Jacobus H. Koolen, Hiroshi Nozaki, Jason R. Vermette
- SIAM J. Discrete Math.
- 2016

From Alon and Boppana, and Serre, we know that for any given integer k ≥ 3 and real number λ < 2 √ k − 1, there are only finitely many k-regular graphs whose second largest eigenvalue is at most λ.… (More)

We determine all graphs whose adjacency matrix has at most two eigenvalues (multiplicities included) different from ±1 and decide which of these graphs are determined by their spectrum. This includes… (More)

- Sebastian M. Cioaba, Willem H. Haemers, Jason R. Vermette
- Des. Codes Cryptography
- 2017

In an earlier paper [3] we determined the class G of graphs with at most two adjacency eigenvalues (multiplicities included) different from ±1. The classification was motivated by the question… (More)

Algebraic combinatorics is the area of mathematics that uses the theories and methods of abstract and linear algebra to solve combinatorial problems, or conversely applies combinatorial techniques to… (More)

The simplicial rook graph SR(m,n) is the graph of which the vertices are the sequences of nonnegative integers of length m summing to n, where two such sequences are adjacent when they differ in… (More)

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