Results 101 to 110 of about 222 (137)

Trees with minimal Laplacian coefficients

, 2010
Let G be a simple undirected graph with the characteristic polynomial of its Laplacian matrix L(G), P(G,μ)=∑k=0n(−1)kckμn−k. It is well known that for trees the Laplacian coefficient cn−2 is equal to the Wiener index of G, while cn−3 is equal to the ...
Ilić, Aleksandar
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Energies of Hypergraphs

, 2020
In this paper, energies associated with hypergraphs are studied. More precisely, results are obtained for the incidence and the singless Laplacian energies of uniform hypergraphs.
Trevisan, Vilmar, Cardoso, Kauê
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A generalization of the incidence energy and the laplacian-energy-like invariant

, 2018
For a graph G and a real number a, the graph invariant s? (G) is the sum of the ath powers of the signless Laplacian eigenvalues and ?? (G) is the sum of the ath powers of the Laplacian eigenvalues of G.
Kaya, E., Dilek Maden, A., Maden, A. Dilek, Kaya, Ezgi   +3 more
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CLOSENESS LAPLACIAN AND CLOSENESS SIGNLESS LAPLACIAN ENERGIES OF NON-COMMUTING GRAPH FOR DIHEDRAL GROUPS

Annals of the Academy of Romanian Scientists Series on Mathematics and Its Application
This research investigates the relationship between algebra and graph theory, specifically how algebra facilitates graph theory. Associating matrices with graphs introduces the concept of graph energies. A new energy formula of non-commuting graphs for dihedral groups using closeness Laplacian and closeness signless Laplacian matrices is investigated ...
Mamika Ujianita Romdhini, Abdurahim Abdurahim, Andika Ellena Saufika Hakim Maharani, Athirah Nawawi, Faisal Al-Sharqi, Ifan Hasnan Dani   +5 more
openaire   +1 more source

Dissecting molecular network structures using a network subgraph approach. [PDF]

PeerJ, 2020
Huang CH, Zaenudin E, Tsai JJP, Kurubanjerdjit N, Dessie EY, Ng KL.   +5 more
europepmc   +1 more source

On Randić energy

, 2014
The Randić matrix R=(rij) of a graph G whose vertex vi has degree di is defined by rij=1/ √didj if the vertices vi and v j are adjacent and rij=0 otherwise. The Randić energy RE is the sum of absolute values of the eigenvalues of R. RE coincides with the
Furtula, Boris, Gutman, Ivan, Bozkurt Ş.   +2 more
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Energy of generalized line graphs

, 2012
The energy of a graph is equal to the sum of the absolute values of its eigenvalues. Line graphs play an important role in the study of graph theory. Generalized line graphs extend the ideas of both line graphs and cocktail party graphs.
Wang, Ligong, Lang, Weiwei
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On incidence energy of a graph

, 2009
The Laplacian-energy like invariant LEL(G) and the incidence energy IE(G) of a graph are recently proposed quantities, equal, respectively, to the sum of the square roots of the Laplacian eigenvalues, and the sum of the singular values of the incidence ...
Mirzakhah, Maryam, Zhou, Bo, Gutman, Ivan, Kiani, Dariush   +3 more
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On the signless Laplacian energy and signless Laplacian Estrada index of extremal graphs

Applied Mathematical Sciences, 2014
R. Binthiya, P. B. Sarasija
openaire   +1 more source

3-partite Turán graphs due to edge deletion the change of distance signless Laplacian energy

Euler tarafından yapılan çalışmayla veya en yaygın bilinen haliyle Könisberg Köprü Problemi ile başlayan graf teorinin oldukça yaygın kullanım alanları vardır.
Öznalcılar, Betül Sena
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