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Distance equienergetic graphs of diameter 4
Examples and CounterexamplesLet Γ1, Γ2 and Γ3 be graphs with pairwise disjoint vertex sets. The graph Θ(Γ1,Γ2,Γ3) is obtained from the graphs Γ1∘Γ3 (the corona product) and Γ2 by joining each vertices of Γ1 in Γ1∘Γ3 with every vertices in Γ2.
B.J. Manjunatha +2 more
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ON DISTANCE-i-GRAPHS OF DISTANCE-REGULAR GRAPHS
Kyushu Journal of Mathematics, 1994 Let \(G\) be a graph. The distance \(i\)-graph of \(G\) is the graph \(G_ i\) defined on the vertex set of \(G\), and \(u\) and \(v\) are adjacent if and only if the distance between \(u\) and \(v\) is \(i\). This paper studies the distance \(i\)-graph of a distance regular graph and its connected component, and obtains a lot of special features of the
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On the degree distance of a graph
Discrete Applied Mathematics, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Peter Dankelmann +3 more
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Distance in stratified graphs [PDF]
Czechoslovak Mathematical Journal, 2000 A stratified graph is an ordered pair \((G,S)\), where \(G\) is an undirected graph and \(S\) is a partition of its vertex set \(V(G)\) into classes called strata. For any stratum \(X\) the concepts analogous to the basic concepts concerning distance may be defined, namely \(X\)-eccentricity, \(X\)-radius, \(X\)-diameter, \(X\)-center, \(X\)-periphery.
Chartrand, Gary +3 more
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Biophysical approaches for studying viral entry
FEBS Letters, EarlyView.Viruses infect all living organisms and have been responsible for major epidemics and pandemics. Their ongoing evolutionary battle with host defenses creates a constant need for improved tools to study viral behavior. Advancing methods to probe viral attachment, fusion, and genome release deepen our understanding of how infections begin and support the
Inbar Yosibash, Raya Sorkin
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Some new results on the reciprocal complementary Wiener number of graphs [PDF]
Contributions to Mathematics, 2022 Ramin Nasiri, Ali Reza Shojaeifard
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On Automorphisms of a Distance-Regular Graph with Intersection Array {125,96,1;1,48,125} [PDF]
Учёные 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
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On Minimum Generalized Degree Distance Index of Cyclic Graphs
International Journal of Mathematics and Mathematical Sciences, 2023 Topological index (TI) is a mapping that associates a real number to the under study (molecular) graph which predicts its various physical and chemical properties.
Nadia Khan +3 more
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Discrete Applied Mathematics, 2012 Accepted for publication in Discrete Applied Mathematics.
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The Electronic Journal of Combinatorics, 2016 This is a survey of distance-regular graphs. We present an introduction to distance-regular graphs for the reader who is unfamiliar with the subject, and then give an overview of some developments in the area of distance-regular graphs since the monograph 'BCN' [Brouwer, A.E., Cohen, A.M., Neumaier, A., Distance-Regular Graphs, Springer-Verlag, Berlin,
Edwin R. van Dam +2 more
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