Results 21 to 30 of about 323,816 (328)
Spectral recognition of graphs [PDF]
At some time, in the childhood of spectral graph theory, it was conjectured that non-isomorphic graphs have different spectra, i.e. that graphs are characterized by their spectra.
Cvetković Dragoš
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Descriptive complexity of graph spectra [PDF]
Two graphs are co-spectral if their respective adjacency matrices have the same multi-set of eigenvalues. A graph is said to be determined by its spectrum if all graphs that are co-spectral with it are isomorphic to it. We consider these properties in relation to logical definability.
Dawar, Anuj +2 more
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The Spectra of Coxeter Graphs [PDF]
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Brouwer, A.E., Riebeek, R.J.
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On molecular graphs and digraphs of annulenes and their spectra [PDF]
Amolecular graph, consisting of undirected edges, can be represented as a sum of two digraphs, consisting of oppositely oriented directed edges. In the case of annulenes, the eigenvalue spectrum of the molecular graph is equal to the sum of the ...
Gutman Ivan, Plath Peter J.
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Chang, Gerard-J. +2 more
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Weisfeiler-Leman and Graph Spectra
Error in Theorem 1.4 ...
Rattan, Gaurav, Seppelt, Tim
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Simplices and Spectra of Graphs [PDF]
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Mohar, Bojan, Rivin, Igor
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Heat Kernel Embeddings, Differential Geometry and Graph Structure
In this paper, we investigate the heat kernel embedding as a route to graph representation. The heat kernel of the graph encapsulates information concerning the distribution of path lengths and, hence, node affinities on the graph; and is found by ...
Hewayda ElGhawalby, Edwin R. Hancock
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Skew Spectra of Oriented Graphs [PDF]
An oriented graph $G^{\sigma}$ is a simple undirected graph $G$ with an orientation $\sigma$, which assigns to each edge a direction so that $G^{\sigma}$ becomes a directed graph. $G$ is called the underlying graph of $G^{\sigma}$, and we denote by $Sp(G)$ the adjacency spectrum of $G$.
Shader, Bryan, So, Wasin
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A sharp lower bound on the signless Laplacian index of graphs with (κ,τ)-regular sets
A new lower bound on the largest eigenvalue of the signless Laplacian spectra for graphs with at least one (κ,τ)regular set is introduced and applied to the recognition of non-Hamiltonian graphs or graphs without a perfect matching.
Andeelić Milica +2 more
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