Results 11 to 20 of about 532 (81)
Fault‐Tolerant Resolvability in Some Classes of Line Graphs
Mathematical Problems in Engineering, Volume 2020, Issue 1, 2020., 2020 Fault tolerance is the characteristic of a system that permits it to carry on its intended operations in case of the failure of one of its units. Such a system is known as the fault‐tolerant self‐stable system. In graph theory, if we remove any vertex in a resolving set, then the resulting set is also a resolving set, called the fault‐tolerant ...
Xuan Guo +5 more
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Vertex Graceful Labeling-Some Path Related Graphs [PDF]
, 2013 Treating subjects as vertex graceful graphs, vertex graceful labeling, caterpillar, actinia graphs, Smarandachely vertex m ...
Balaganesan, P. +2 more
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Odd Harmonious Labeling of Some Graphs [PDF]
, 2012 The labeling of discrete structures is a potential area of research due to its wide range of applications.
Shah, N.H., Vaidya, S.K.
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A Note on 1-Edge Balance Index Set [PDF]
, 2012 A graph labeling is an assignment of integers to the vertices or edges or both, subject to certain conditions. Varieties of graph labeling have been investigated by many authors [2], [3] [5] and they serve as useful models for broad range of ...
Chandrashekar Adiga, +2 more
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Note on group distance magic graphs $G[C_4]$ [PDF]
, 2012 A \emph{group distance magic labeling} or a $\gr$-distance magic labeling of a graph $G(V,E)$ with $|V | = n$ is an injection $f$ from $V$ to an Abelian group $\gr$ of order $n$ such that the weight $w(x)=\sum_{y\in N_G(x)}f(y)$ of every vertex $x \in V$
D. Froncek +3 more
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On the edge-balanced index sets of product graphs [PDF]
, 2011 We characterize strongly edge regular product graphs and find the edge-balanced index sets of complete bipartite graphs without a perfect matching, the direct product $K_n\times K_2$.
Krop, Elliot +2 more
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Zero-sum partitions of Abelian groups of order $2^n$ [PDF]
Discrete Mathematics & Theoretical Computer Science, 2023 The following problem has been known since the 80's. Let $\Gamma$ be an Abelian group of order $m$ (denoted $|\Gamma|=m$), and let $t$ and $m_i$, $1 \leq i \leq t$, be positive integers such that $\sum_{i=1}^t m_i=m-1$.
Sylwia Cichacz, Karol Suchan
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On Local Antimagic Chromatic Number of Cycle-Related Join Graphs
Discussiones Mathematicae Graph Theory, 2021 An edge labeling of a connected graph G = (V, E) is said to be local antimagic if it is a bijection f : E → {1, . . ., |E|} such that for any pair of adjacent vertices x and y, f+(x) ≠ f+(y), where the induced vertex label f+(x) = Σf(e), with e ranging ...
Lau Gee-Choon, Shiu Wai-Chee, Ng Ho-Kuen
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Additive List Coloring of Planar Graphs with Given Girth
Discussiones Mathematicae Graph Theory, 2020 An additive coloring of a graph G is a labeling of the vertices of G from {1, 2, . . . , k} such that two adjacent vertices have distinct sums of labels on their neighbors.
Brandt Axel +2 more
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Extension of α‐labelings of quadratic graphs
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 11, Page 571-578, 2004., 2004 First, a new proof for the existence of an α‐labeling of the quadratic graph Q(3, 4k) is presented. Then the existence of α‐labelings of special classes of quadratic graphs with some isomorphic components is shown.
Kourosh Eshghi
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