Results 71 to 80 of about 2,447 (140)

A sharp upper bound on the spectral radius of a nonnegative k-uniform tensor and its applications to (directed) hypergraphs

Journal of Inequalities and Applications, 2020
In this paper, we obtain a sharp upper bound on the spectral radius of a nonnegative k-uniform tensor and characterize when this bound is achieved. Furthermore, this result deduces the main result in [X. Duan and B.
Chuang Lv, Lihua You, Xiao-Dong Zhang
doaj   +1 more source

Spectral Results on Some Hamiltonian Properties of Graphs [PDF]

Romanian Journal of Mathematics and Computer Science, 2014
Using Lotker’s interlacing theorem on the Laplacian eigenvalues of a graph in [5] and Wang and Belardo’s interlacing theorem on the signless Laplacian eigenvalues of a graph in [6], we in this note obtain spectral conditions for some Hamiltonian ...
Rao Li
doaj  

Universal Adjacency Matrices with Two Eigenvalues [PDF]

AMS Mathematics Subject Classification: 05C50.Adjacency matrix;Universal adjacency matrix;Laplacian matrix;signless Laplacian;Graph spectra;Eigenvalues;Strongly regular ...
Haemers, W.H., Omidi, G.R.
core   +1 more source

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, Rivatul Ridho Elvierayani, Muflihatun Nafisah   +2 more
doaj   +1 more source

Applications on color (distance) signless laplacian energy of annihilator monic prime graph of commutative rings

Ain Shams Engineering Journal
In this study, we define the structure formation of the annihilator monic prime graph of commutative rings, whose distinct vertices X and J satisfies a condition annXJ≠annX⋃ann(J), graph is denoted by AMPG(Zn[x]/〈fx〉).
R. Sarathy, J. Ravi Sankar
doaj   +1 more source

On the Signless Laplacian ABC-Spectral Properties of a Graph

Mathematics
In the paper, we introduce the signless Laplacian ABC-matrix Q̃(G)=D¯(G)+Ã(G), where D¯(G) is the diagonal matrix of ABC-degrees and Ã(G) is the ABC-matrix of G. The eigenvalues of the matrix Q̃(G) are the signless Laplacian ABC-eigenvalues of G.
Bilal A. Rather, Hilal A. Ganie, Yilun Shang   +2 more
doaj   +1 more source

Some improved bounds on two energy-like invariants of some derived graphs

Open Mathematics, 2019
Given a simple graph G, its Laplacian-energy-like invariant LEL(G) and incidence energy IE(G) are the sum of square root of its all Laplacian eigenvalues and signless Laplacian eigenvalues, respectively. This paper obtains some improved bounds on LEL and
Cui Shu-Yu, Tian Gui-Xian
doaj   +1 more source

Certain Notions of Energy in Single-Valued Neutrosophic Graphs

Axioms, 2018
A single-valued neutrosophic set is an instance of a neutrosophic set, which provides us an additional possibility to represent uncertainty, imprecise, incomplete and inconsistent information existing in real situations.
Sumera Naz, Muhammad Akram, Florentin Smarandache   +2 more
doaj   +1 more source

A conjecture on square roots of Laplacian and signless Laplacian eigenvalues of graphs [PDF]

, 2022
Akbari, S., Ghorbani, E., Oboudi, M. R.
openalex   +1 more source

Some sufficient conditions on hamilton graphs with toughness. [PDF]

Front Comput Neurosci, 2022
Cai G, Yu T, Xu H, Yu G.
europepmc   +1 more source