Results 31 to 40 of about 323,816 (328)
Weighted graphs: Eigenvalues and chromatic number
Electronic Journal of Graph Theory and Applications, 2016 We revisit Hoffman relation involving chromatic number $\chi$ and eigenvalues. We construct some graphs and weighted graphs such that the largest and smallest eigenvalues $\lambda$ dan $\mu$ satisfy $\lambda=(1-\chi)\mu.$ We study in particular the ...
Charles Delorme
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Spectra of semi-infinite quantum graph tubes [PDF]
, 2016 The spectrum of a semi-infinite quantum graph tube with square period cells is analyzed. The structure is obtained by rolling up a doubly periodic quantum graph into a tube along a period vector and then retaining only a semi-infinite half of the tube ...
Shipman, Stephen P., Tillay, Jeremy
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On the Spectra of Commuting and Non Commuting Graph on Dihedral Group
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2017 Study about spectra of graph has became interesting work as well as study about commuting and non commuting graph of a group or a ring. But the study about spectra of commuting and non commuting graph of dihedral group has not been done yet.
Abdussakir Abdussakir +2 more
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The spectral determination of the connected multicone graphs
AKCE International Journal of Graphs and Combinatorics, 2021 The main goal of the paper is to answer an unsolved problem. A multicone graph is defined to be the join of a clique and a regular graph, and a wheel as the join of a vertex and a cycle.
Ali Zeydi Abdian +4 more
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Spectral Theory of Infinite Quantum Graphs [PDF]
, 2018 We investigate quantum graphs with infinitely many vertices and edges without the common restriction on the geometry of the underlying metric graph that there is a positive lower bound on the lengths of its edges. Our central result is a close connection
Exner, Pavel +3 more
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A polynomial eigenvalue approach for multiplex networks
New Journal of Physics, 2018 We explore the block nature of the matrix representation of multiplex networks, introducing a new formalism to deal with its spectral properties as a function of the inter-layer coupling parameter.
Guilherme Ferraz de Arruda +3 more
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Dependence of the spectrum of a quantum graph on vertex conditions and edge lengths [PDF]
, 2011 We study the dependence of the quantum graph Hamiltonian, its resolvent, and its spectrum on the vertex conditions and graph edge lengths. In particular, several results on the interlacing (bracketing) of the spectra of graphs with different vertex ...
Berkolaiko, Gregory, Kuchment, Peter
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Structural differentiation of graphs using Hosoya-based indices. [PDF]
PLoS ONE, 2014 In this paper, we introduce the Hosoya-Spectral indices and the Hosoya information content of a graph. The first measure combines structural information captured by partial Hosoya polynomials and graph spectra. The latter is a graph entropy measure which
Matthias Dehmer +2 more
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Spectra of Complemented Triangulation Graphs
Mathematics, 2022 The complemented triangulation graph of a graph G, denoted by CT(G), is defined as the graph obtained from G by adding, for each edge uv of G, a new vertex whose neighbours are the vertices of G other than u and v.
Jia Wei, Jing Wang
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Journal of Chemical Education, 1994 Displays the emission spectra of over 80 elements; data are encapsulated into Microsoft Excel spreadsheets.
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