Results 41 to 50 of about 855,405 (264)
The connected partition dimension of truncated wheels
AKCE International Journal of Graphs and Combinatorics, 2021 Let G be a connected graph. For a vertex v of G and a subset S of V(G), the distance between v and S is d(v, S) = min Given an ordered k-partition = of V(G), the representation of v with respect to is the k-vector If for each pair of distinct vertices ...
Lyndon L. Lazaro, Jose B. Rosario
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Secure Resolving Sets in a Graph [PDF]
Symmetry, 2018 Let G = (V, E) be a simple, finite, and connected graph. A subset S = {u1, u2, …, uk} of V(G) is called a resolving set (locating set) if for any x ∈ V(G), the code of x with respect to S that is denoted by CS (x), which is defined as CS (x) = (d(u1, x), d(u2, x), .., d(uk, x)), is different for different x.
Subramanian, Hemalathaa +1 more
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Application of neutrosophic resolving sets in earthquake disaster management using neutrosophic graph models [PDF]
Neutrosophic Sets and SystemsNeutrosophic graphs are more suitable for modelling real-life situations because real world data is often uncertain, incomplete, inconsistent, or indeterminate and neutrosophic graphs are specifically designed to handle all of neutrosophic graphs, these ...
R. Shanmugapriya, R. Shanmugapriya
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A CHARACTERIZATION OF LOCAL RESOLVENT SETS [PDF]
Communications of the Korean Mathematical Society, 2006 Let T be a bounded linear operator on a Banach space X. And let be the local resolvent set of T at . Then we prove that a complex number belongs to if and only if there is a sequence in X such that for n = 0, 1, 2,..., = x and is bounded.
Hyuk Han, Jong-Kwang Yoo
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DIMENSI METRIK GRAPH LOBSTER Ln (q;r)
E-Jurnal Matematika, 2013 The metric dimension of connected graph G is the cardinality of minimum resolving set in graph G. In this research, we study how to find the metric dimension of lobster graph Ln (q;r).
PANDE GDE DONY GUMILAR +2 more
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Primatika, 2019 Graf merupakan suatu (V, E) dengan V adalah himpunan simpul dan E adalah himpunan edge, yaitu pasangan simpul dari V. Jika G adalah graf terhubung, jarak antara dua simpul u dan v di G dinotasikan dengan adalah panjang lintasan terpendek di antara ...
Petrus Fendiyanto
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On The Metric Dimension of Some Operation Graphs
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2018 Let be a simple, finite, and connected graph. An ordered set of vertices of a nontrivial connected graph is and the -vector represent vertex that respect to , where and is the distance between vertex and for . The set called a resolving set for
Marsidi Marsidi +4 more
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Metric dimension of ideal-intersection graph of the ring
AKCE International Journal of Graphs and Combinatorics, 2021 Metric Dimension of a simple connected graph is the minimum number of vertices those are used to identify each vertex of the graph uniquely using distance code. In this paper, we determine metric dimension of ideal-intersection graph for the ring where n
Laxman Saha +2 more
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The Resolving Graph of Amalgamation of Cycles [PDF]
, 2010 For an ordered set W = {w_1,w_2,...,w_k} of vertices and a vertex v in a connected graph G, the representation of v with respect to W is the ordered k-tuple r(v|W) = (d(v,w_1),d(v,w_2),...,d(v,w_k)) where d(x,y) represents the distance between the ...
Baskoro, Edy Tri +3 more
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A Comparison between the Zero Forcing Number and the Strong Metric Dimension of Graphs [PDF]
, 2014 The \emph{zero forcing number}, $Z(G)$, of a graph $G$ is the minimum cardinality of a set $S$ of black vertices (whereas vertices in $V(G)-S$ are colored white) such that $V(G)$ is turned black after finitely many applications of "the color-change rule":
A Sebö +19 more
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