Results 1 to 10 of about 29 (28)
The Local Antimagic Total Chromatic Number of Some Wheel-Related Graphs
Axioms, 2022 Let G=(V,E) be a connected graph with |V|=n and |E|=m. A bijection f:V(G)∪E(G)→{1,2,⋯,n+m} is called local antimagic total labeling if, for any two adjacent vertices u and v, ωt(u)≠ωt(v), where ωt(u)=f(u)+∑e∈E(u)f(e), and E(u) is the set of edges ...
Xue Yang +3 more
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On local antimagic total labeling of complete graphs amalgamation [PDF]
Opuscula Mathematica, 2023 Let \(G = (V,E)\) be a connected simple graph of order \(p\) and size \(q\). A graph \(G\) is called local antimagic (total) if \(G\) admits a local antimagic (total) labeling.
Gee-Choon Lau, Wai Chee Shiu
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Every graph is local antimagic total and its applications [PDF]
Opuscula Mathematica, 2023 Let \(G = (V,E)\) be a simple graph of order \(p\) and size \(q\). A graph \(G\) is called local antimagic (total) if \(G\) admits a local antimagic (total) labeling. A bijection \(g : E \to \{1,2,\ldots,q\}\) is called a local antimagic labeling of \(G\)
Gee-Choon Lau +2 more
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Local total anti-magic chromatic number of graphs
Heliyon, 2023 Let G=(V,E) be a graph without isolated vertices and let |V(G)|=n and |E(G)|=m. A bijection π:V(G)∪E(G)→{1,2,....,n+m} is said to be local total anti-magic labeling of a graph G if it satisfies the conditions: (i.) for any edge uv, ω(u)≠ω(v), where u and
V. Sandhiya, M. Nalliah
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PEWARNAAN TITIK TOTAL SUPER ANTI-AJAIB LOKAL PADA GRAF PETERSEN DIPERUMUM P(n,k) DENGAN k=1,2
Barekeng, 2021 The local antimagic total vertex labeling of graph G is a labeling that every vertices and edges label by natural number from 1 to such that every two adjacent vertices has different weights, where is The sum of a vertex label and the labels of all ...
Deddy Setyawan +4 more
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Chromatic number of super vertex local antimagic total labelings of graphs
Electronic Journal of Graph Theory and Applications, 2021 Let G(V,E) be a simple graph and f be a bijection f : V ∪ E → {1, 2, …, |V|+|E|} where f(V)={1, 2, …, |V|}. For a vertex x ∈ V, define its weight w(x) as the sum of labels of all edges incident with x and the vertex label itself. Then f is called a super
Fawwaz F. Hadiputra +4 more
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Super local edge anti-magic total coloring of paths and its derivation
Indonesian Journal of Combinatorics, 2020 Suppose G(V,E) be a connected simple graph and suppose u,v,x be vertices of graph G. A bijection f : V ∪ E → {1,2,3,...,|V (G)| + |E(G)|} is called super local edge antimagic total labeling if for any adjacent edges uv and vx, w(uv) 6= w(vx), which w(uv)
Fawwaz Fakhrurrozi Hadiputra +2 more
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Complete characterization of graphs with local total antimagic chromatic number 3 [PDF]
Opuscula MathematicaA total labeling of a graph \(G = (V, E)\) is said to be local total antimagic if it is a bijection \(f: V\cup E \to\{1,\ldots,|V|+|E|\}\) such that adjacent vertices, adjacent edges, and pairs of an incident vertex and edge have distinct induced weights
Gee-Choon Lau
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Local inclusive distance antimagic coloring of graphs
Indonesian Journal of CombinatoricsFor a simple graph G, a bijection f : V(G) → [1,|V (G)|] is called as a local inclusive distance antimagic (LIDA) labeling of G if w(u) ≠ w(v) for every two adjacent vertices u,v ∈ V(G) with w(u) = ∑x∈N [u] f(x).
Fawwaz Fakhrurrozi Hadiputra +4 more
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