Results 31 to 40 of about 96,525 (309)

Covering Regular Graphs

open access: yesJournal of Combinatorial Theory, Series B, 1997
A covering projection from a graph \(G\) onto a graph \(H\) is a ``local isomorphism'': a mapping from the vertex set of \(G\) onto the vertex set of \(H\) such that, for every \(v\in V(G)\), the neighborhood of \(v\) is mapped bijectively onto the neighborhood (in \(H\)) of the image of \(v\).
Jan Kratochvíl   +2 more
openaire   +1 more source

On single-valued co-neutrosophic graphs [PDF]

open access: yesNeutrosophic Sets and Systems, 2018
In this paper, we introduce the notion of a single-valued co-neutrosophic graphs and study some methods of construction of new single-valued co-neutrosophic graphs.
R. Dhavaseelan   +3 more
doaj   +1 more source

On Automorphisms of a Distance-Regular Graph with Intersection Array {125,96,1;1,48,125} [PDF]

open access: yesУчёные записки Казанского университета: Серия Физико-математические науки, 2017
J. Koolen posed the problem of studying distance-regular graphs in which neighborhoods of vertices are strongly regular graphs with the second eigenvalue ≤ t for the given positive integer t.
V.V. Bitkina, A.A. Makhnev
doaj  

New concepts of regular and (highly) irregular vague graphs with applications

open access: yesFuzzy Information and Engineering, 2017
In this paper, some types of vague graphs are introdaced such as dm-regular, tdm-regular, m-highly irregular and m-highly totally irregular vague graphs are introduced and some properties of them are discussed.
Elham Darabian   +3 more
doaj   +1 more source

Existence of Regular Nut Graphs for Degree at Most 11

open access: yesDiscussiones Mathematicae Graph Theory, 2020
A nut graph is a singular graph with one-dimensional kernel and corresponding eigenvector with no zero elements. The problem of determining the orders n for which d-regular nut graphs exist was recently posed by Gauci, Pisanski and Sciriha.
Fowler Patrick W.   +4 more
doaj   +1 more source

On pseudo regular spherical fuzzy graphs

open access: yesRatio Mathematica, 2023
In this paper, pseudo regular and totally pseudo regular spherical fuzzy graphs are defined using pseudo degree and total pseudo degree of a vertex. A necessary and sufficient condition for pseudo regular spherical fuzzy graph is given.
B Mohamed Harif, A Nazeera Begam
doaj   +1 more source

On regular graphs. II

open access: yesJournal of Combinatorial Theory, Series B, 1971
AbstractThis paper is a continuation of [1] and we shall use the same terminology. The main result of this part is the following: Suppose that the automorphism group of a connected graph of valency p + 1, p a prime, has a subgroup which acts as a regular permutation group on the set of s-arcs of the graph. Then s ≤ 7 and s ≠ 6.
openaire   +3 more sources

On orbital regular graphs and frobenius graphs

open access: yesDiscrete Mathematics, 1998
A group is a Frobenius group if it acts transitively but not freely on a set such that no two elements are fixed by a non-trivial element of the group. An orbital-regular graph is a finite graph whose automorphism group has a subgroup which is transitive on the edges and contains no element which fixes two vertices.
Xin Gui Fang   +2 more
openaire   +2 more sources

Regular star complements in strongly regular graphs [PDF]

open access: yes, 2012
We prove that, aside from the complete multipartite graphs and graphs of Steiner type, there are only finitely many connected strongly regular graphs with a regular star complement of prescribed degree s∈N.
Peter Rowlinson, Rowlinson, Peter
core   +1 more source

Quasi-randomness and algorithmic regularity for graphs with general degree distributions [PDF]

open access: yes, 2010
We deal with two intimately related subjects: quasi-randomness and regular partitions. The purpose of the concept of quasi-randomness is to express how much a given graph “resembles” a random one.
Schacht, Mathias   +5 more
core   +1 more source

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