Results 21 to 30 of about 2,418,413 (302)

On the Distance Pattern Distinguishing Number of a Graph

open access: yesJournal of Applied Mathematics, 2014
Let G=(V,E) be a connected simple graph and let M be a nonempty subset of V. The M-distance pattern of a vertex u in G is the set of all distances from u to the vertices in M.
Sona Jose, Germina K. Augustine
doaj   +1 more source

The distance spectrum of corona and cluster of two graphs

open access: yesAKCE International Journal of Graphs and Combinatorics, 2015
Let G be a connected graph with a distance matrix D. The D-eigenvalues {μ1,μ2,…,…,μp} of G are the eigenvalues of D and form the distance spectrum or D-spectrum of G.
G. Indulal, Dragan Stevanović
doaj   +1 more source

A Characterization of Maximal Outerplanar-Open Distance Pattern Uniform Graphs

open access: yesمجلة بغداد للعلوم, 2023
Let A ⊆ V(H) of any graph H, every node w of H be labeled using a set of numbers; , where d(w,v) denotes the distance between node w and the node v in H, known as its open A-distance pattern. A graph H is known as the open distance-pattern uniform (odpu)
BIBIN K JOSE
doaj   +1 more source

On the relation between graph distance and Euclidean distance in random geometric graphs [PDF]

open access: yes, 2016
Given any two vertices u, v of a random geometric graph G(n, r), denote by dE(u, v) their Euclidean distance and by dE(u, v) their graph distance. The problem of finding upper bounds on dG(u, v) conditional on dE(u, v) that hold asymptotically almost ...
Pérez Giménez, Xavier   +3 more
core   +1 more source

The Edit Distance Function of Some Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2020
The edit distance function of a hereditary property 𝒣 is the asymptotically largest edit distance between a graph of density p ∈ [0, 1] and 𝒣. Denote by Pn and Cn the path graph of order n and the cycle graph of order n, respectively. Let C2n*C_{2n}^* be
Hu Yumei, Shi Yongtang, Wei Yarong
doaj   +1 more source

Optimizing Distance Computation in Distributed Graph Systems

open access: yesIEEE Access, 2020
Given a large graph, such as a social network or a knowledge graph, a fundamental query is how to find the distance from a source vertex to another vertex in the graph.
Qing Wang   +5 more
doaj   +1 more source

Distance-unbalancedness of graphs [PDF]

open access: yesApplied Mathematics and Computation, 2021
14 pages, 3 ...
Miklavič, Štefko, Šparl, Primož
openaire   +2 more sources

Capturing Topology in Graph Pattern Matching [PDF]

open access: yes, 2011
Graph pattern matching is often defined in terms of subgraph isomorphism, an np-complete problem. To lower its complexity, various extensions of graph simulation have been considered instead.
Huai, Jinpeng   +9 more
core   +1 more source

Resistance distance, information centrality, node vulnerability and vibrations in complex networks [PDF]

open access: yes, 2010
We discuss three seemingly unrelated quantities that have been introduced in different fields of science for complex networks. The three quantities are the resistance distance, the information centrality and the node displacement.
Estrada, Ernesto, Hatano, Naomichi
core   +4 more sources

A survey of two-dimensional graph layout techniques for information visualisation [PDF]

open access: yes, 2012
Many algorithms for graph layout have been devised over the last 30 years spanning both the graph drawing and information visualisation communities. This article first reviews the advances made in the field of graph drawing that have then often been ...
Vickers, Paul, Gibson, Helen, Faith, Joe
core   +1 more source

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