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10/16/2022
A lower bound for the smallest eigenvalue of a graph and an application to the associahedron graph
In this paper, we obtain a lower bound for the smallest eigenvalue of a ...
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04/04/2021
Extremal Graphs for a Spectral Inequality on Edge-Disjoint Spanning Trees
Liu, Hong, Gu, and Lai proved if the second largest eigenvalue of the ad...
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02/19/2021
On the eigenvalues of Grassmann graphs, Bilinear forms graphs and Hermitian forms graphs
Recently, Brouwer, Cioabă, Ihringer and McGinnis obtained some new resul...
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11/12/2020
On a question of Haemers regarding vectors in the nullspace of Seidel matrices
In 2011, Haemers asked the following question: If S is the Seidel matrix...
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09/07/2020
On the spectrum and linear programming bound for hypergraphs
The spectrum of a graph is closely related to many graph parameters. In ...
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06/23/2020
On the flip graphs on perfect matchings of complete graphs and signed reversal graphs
In this paper, we study the flip graph on the perfect matchings of a com...
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04/20/2020
Eigenvalues of graphs and spectral Moore theorems
In this paper, we describe some recent spectral Moore theorems related t...
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12/09/2019
Some observations on the smallest adjacency eigenvalue of a graph
In this paper, we discuss various connections between the smallest eigen...
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07/09/2019
Open problems in the spectral theory of signed graphs
Signed graphs are graphs whose edges get a sign +1 or -1 (the signature)...
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08/14/2018
Addressing Johnson graphs, complete multipartite graphs, odd cycles and other graphs
Graham and Pollak showed that the vertices of any graph G can be address...
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05/02/2018
A spectral version of the Moore problem for bipartite regular graphs
Let b(k,θ) be the maximum order of a connected bipartite k-regular graph...
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09/26/2017
The smallest eigenvalues of Hamming graphs, Johnson graphs and other distance-regular graphs with classical parameters
We prove a conjecture by Van Dam and Sotirov on the smallest eigenvalue ...
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08/25/2017