Results 61 to 70 of about 1,354 (80)

Perfect codes in power graphs of finite groups

open access: yesOpen Mathematics, 2017
The power graph of a finite group is the graph whose vertex set is the group, two distinct elements being adjacent if one is a power of the other. The enhanced power graph of a finite group is the graph whose vertex set consists of all elements of the ...
Ma Xuanlong   +4 more
doaj   +1 more source

Orientable ℤN-Distance Magic Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2019
Let G = (V, E) be a graph of order n. A distance magic labeling of G is a bijection ℓ: V → {1, 2, . . ., n} for which there exists a positive integer k such that ∑x∈N(v)ℓ(x) = k for all v ∈ V, where N(v) is the open neighborhood of v.
Cichacz Sylwia   +2 more
doaj   +1 more source

Chromatic Properties of the Pancake Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2017
Chromatic properties of the Pancake graphs Pn, n ⩾ 2, that are Cayley graphs on the symmetric group Symn generated by prefix-reversals are investigated in the paper.
Konstantinova Elena
doaj   +1 more source

Graph Varieties Axiomatized by Semimedial, Medial, and Some Other Groupoid Identities

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2020
Directed graphs without multiple edges can be represented as algebras of type (2, 0), so-called graph algebras. A graph is said to satisfy an identity if the corresponding graph algebra does, and the set of all graphs satisfying a set of identities is ...
Lehtonen Erkko, Manyuen Chaowat
doaj   +1 more source

On Perfectness of Intersection Graph of Ideals of ℤn

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2017
In this short paper, we characterize the positive integers n for which intersection graph of ideals of ℤn is perfect.
Das Angsuman
doaj   +1 more source

Small clique number graphs with three trivial critical ideals

open access: yesSpecial Matrices, 2018
The critical ideals of a graph are the determinantal ideals of the generalized Laplacian matrix associated to a graph. Previously, they have been used in the understanding and characterizing of the graphs with critical group with few invariant factors ...
Alfaro Carlos A., Valencia Carlos E.
doaj   +1 more source

Classifying cubic symmetric graphs of order 88p and 88p 2

open access: yesOpen Mathematics
For a simple graph Γ\Gamma , Γ\Gamma is said to be ss-regular, provided that the automorphism group of Γ\Gamma regularly acts on the set consisting of ss-arcs of Γ\Gamma .
Zhai Liangliang
doaj   +1 more source

A subexponential construction of graph coloring for multiparty computation

open access: yesJournal of Mathematical Cryptology, 2014
We show the first deterministic construction of an unconditionally secure multiparty computation (MPC) protocol in the passive adversarial model over black-box non-Abelian groups which is both optimal (secure against an adversary who possesses any ...
Asghar Hassan Jameel   +3 more
doaj   +1 more source

The Armendariz Graph of a Ring

open access: yesDiscussiones 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   +2 more
doaj   +1 more source

Solutions to some congruence equations via suborbital graphs. [PDF]

open access: yesSpringerplus, 2016
Güler BÖ, Kör T, Şanlı Z.
europepmc   +1 more source

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