Results 61 to 70 of about 8,068,470 (244)
Resolving Restrained Domination in Graphs
European Journal of Pure and Applied Mathematics, 2021 Let G be a connected graph. Brigham et al. [3] defined a resolving dominating setas a set S of vertices of a connected graph G that is both resolving and dominating.
Gerald B. Monsanto, Helen M. Rara
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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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Fault-Tolerant Resolvability and Extremal Structures of Graphs
Mathematics, 2019 In this paper, we consider fault-tolerant resolving sets in graphs. We characterize n-vertex graphs with fault-tolerant metric dimension n, n − 1 , and 2, which are the lower and upper extremal cases.
Hassan Raza +3 more
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Metric dimension of fullerene graphs
Electronic Journal of Graph Theory and Applications, 2019 A resolving set W is a set of vertices of a graph G(V, E) such that for every pair of distinct vertices u, v ∈ V(G), there exists a vertex w ∈ W satisfying d(u, w) ≠ d(v, w).
Shehnaz Akhter, Rashid Farooq
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Bounds for metric dimensions of generalized neighborhood corona graphs
Heliyon, 2021 In this paper, the authors analysed metric dimensions of arbitrary graphs G★˜∧i=1|V(G)|Hi in which graphs G,H1,H2,…,H|V(G)| are non-trivial, G is connected, and ★˜ denotes generalized neighborhood corona operation.
Rinurwati, S.E. Setiawan, Slamin
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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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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
core
Prioritized Repairing and Consistent Query Answering in Relational Databases [PDF]
, 2011 A consistent query answer in an inconsistent database is an answer obtained in every (minimal) repair. The repairs are obtained by resolving all conflicts in all possible ways.
A Fuxman +14 more
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Kyoto Journal of Mathematics, 1986 We want to add here another two proofs that the resolvent set of a linear operator is open. The first proof depends on the Hahn-Banach theorem and the second on the Neumann series construction of a linear isomorphism between Ran(A-\(\lambda)\) and Ran(A-\(\mu)\).
Ikebe, Teruo, Yoshioka, Takashi
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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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