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Antimagic Labelings of Join Graphs
Mathematics in Computer Science, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Martin Baca +3 more
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ON -ANTIMAGICNESS OF DISCONNECTED GRAPHS
Bulletin of the Australian Mathematical Society, 2016A simple graph$G=(V,E)$admits an$H$-covering if every edge in$E$belongs to at least one subgraph of$G$isomorphic to a given graph$H$. Then the graph$G$is$(a,d)$-$H$-antimagic if there exists a bijection$f:V\cup E\rightarrow \{1,2,\ldots ,|V|+|E|\}$such that, for all subgraphs$H^{\prime }$of$G$isomorphic to$H$, the$H^{\prime }$-weights,$wt_{f}(H^{\prime
Bača, Martin +3 more
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Aequationes mathematicae, 2022
Graceful labeling and antimagic labeling are two significant topics in the domain of graph labelings, with outstanding conjectures which still remain unsolved. In this paper, the authors combine these two concepts to define a new labeling, called graceful antimagic labelings. Graceful antimagicness of some families of trees, cycles, and nearly complete
Mohammed Ali Ahmed +4 more
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Graceful labeling and antimagic labeling are two significant topics in the domain of graph labelings, with outstanding conjectures which still remain unsolved. In this paper, the authors combine these two concepts to define a new labeling, called graceful antimagic labelings. Graceful antimagicness of some families of trees, cycles, and nearly complete
Mohammed Ali Ahmed +4 more
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Local antimagic labeling of graphs
Applied Mathematics and Computation, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiaowei Yu +4 more
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Antimagic orientation of Halin graphs
Discrete Mathematics, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiaowei Yu, Yulin Chang, Shan Zhou
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Antimagicness of Generalized Corona and Snowflake Graphs
Mathematics in Computer Science, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jacqueline W. Daykin +3 more
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Developments in Mathematics, 2019
Magic and antimagic labelings are among the oldest labeling schemes in graph theory. This book takes readers on a journey through these labelings, from early beginnings with magic squares up to the latest results and beyond. Starting from the very basics, the book offers a detailed account of all magic and antimagic type labelings of undirected graphs.
Martin Baca +2 more
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Magic and antimagic labelings are among the oldest labeling schemes in graph theory. This book takes readers on a journey through these labelings, from early beginnings with magic squares up to the latest results and beyond. Starting from the very basics, the book offers a detailed account of all magic and antimagic type labelings of undirected graphs.
Martin Baca +2 more
exaly +2 more sources
Distance Antimagic Labelings of Graphs
2017Let \(G=(V,E)\) be a graph of order n. Let \(f: V(G)\rightarrow \{1,2,\dots ,n\}\) be a bijection. For any vertex \(v \in V,\) the neighbor sum \(\sum \limits _{u\in N(v)}f(u)\) is called the weight of the vertex v and is denoted by w(v). If \(w(x) \ne w(y)\) for any two distinct vertices x and y, then f is called a distance antimagic labeling. A graph
Nainarraj Kamatchi +4 more
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Local Antimagic Vertex Coloring of a Graph
Graphs and Combinatorics, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Subramanian Arumugam 0001 +3 more
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Regular bipartite graphs are antimagic
Journal of Graph Theory, 2008AbstractA labeling of a graph G is a bijection from E(G) to the set {1, 2,… |E(G)|}. A labeling is antimagic if for any distinct vertices u and v, the sum of the labels on edges incident to u is different from the sum of the labels on edges incident to v. We say a graph is antimagic if it has an antimagic labeling.
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