Results 71 to 80 of about 1,383 (108)

Note on the product of the largest and the smallest eigenvalue of a graph

Special Matrices
In this note, we use eigenvalue interlacing to derive an inequality between a graph’s maximum degree and its maximum and minimum adjacency eigenvalues. The equality case is fully characterized.
Abiad Aida, Dalfó Cristina, Fiol Miquel Àngel   +2 more
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The Armendariz Graph of a Ring

Discussiones Mathematicae - General Algebra and Applications, 2018
In this paper we initiate the study of Armendariz graph of a commutative ring R and investigate the basic properties of this graph such as diameter, girth, domination number, etc.
Abdioğlu Cihat, Çelikel Ece Yetkin, Das Angsuman   +2 more
doaj   +1 more source

Commuting graphs of gamma rings

Open Mathematics
Let M be a non-commutative gamma ring and ZΓM ${Z}_{{\Gamma}}\left(M\right)$ denote the center of the gamma ring M. The vertices a and b are consecutive if a ≠ b and aαb = bαa for every α ∈ Γ, with vertices taken from the set M−ZΓM $M-{Z}_{{\Gamma ...
Arslan Okan
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Classifying pentavalent symmetric graphs of order 12pq

Open Mathematics
A graph is said to be symmetric if its automorphism group is transitive on its arcs. Guo et al. (Pentavalent symmetric graphs of order 12p, Electron. J. Combin. 18 (2011), no. 1, #P233, DOI: https://doi.org/10.37236/720) and Ling (Classifying pentavalent
Qian Xiaorui, Ling Bo, Yang Jinlong, Zhao Yun   +3 more
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Forbidden subgraphs of TI-power graphs of finite groups

Open Mathematics
Given a finite group GG with identity ee, the TI-power graph (trivial intersection power graph) defined on GG, denoted by Γ(G)\Gamma \left(G), is an undirected graph with vertex set GG where distinct vertices aa and bb are adjacent if ⟨a⟩∩⟨b⟩={e}\langle ...
Li Huani, Chen Jin, Lin Shixun
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Solutions to some congruence equations via suborbital graphs. [PDF]

Springerplus, 2016
Güler BÖ, Kör T, Şanlı Z.
europepmc   +1 more source

THE SHAPE OF THE ONE-DIMENSIONAL PHYLOGENETIC LIKELIHOOD FUNCTION. [PDF]

Ann Appl Probab, 2017
Dinh V, Matsen FA.
europepmc   +1 more source

On the Decomposition of Vertex-Transitive Graphs into Multicycles. [PDF]

J Res Natl Bur Stand (1977), 1983
Leighton FT.
europepmc   +1 more source

Circulants and the Characterization of Vertex-Transitive Graphs. [PDF]

J Res Natl Bur Stand (1977), 1983
Leighton FT.
europepmc   +1 more source

Characterization of perfect numerical semigroups in terms of pseudo-Frobenius numbers. [PDF]

Heliyon
Li M, Guo H, Tian Y.
europepmc   +1 more source