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Strict Neighbor-Distinguishing Total Index of Graphs
Acta Mathematica Sinica, English Series, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gu, Jing, Wang, Wei Fan, Wang, Yi Qiao
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2-Distance vertex-distinguishing index of subcubic graphs
Journal of Combinatorial Optimization, 2018Weifan Wang, , Wang Weifan
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On the Neighbour-Distinguishing Index of a Graph
Graphs and Combinatorics, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Keith Edwards +2 more
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The optimal general upper bound for the distinguishing index of infinite graphs
Journal of Graph Theory, 2019The distinguishing index D′(G) of a graph G is the least cardinal number d such that G has an edge‐coloring with d colors, which is preserved only by the trivial automorphism.
M. Pilsniak, Marcin Stawiski
semanticscholar +1 more source
The distinguishing number and the distinguishing index of graphs from primary subgraphs
2019Summary: The distinguishing number (index) \(D(G)\) \((D'(G))\) of a graph \(G\) is the least integer \(d\) such that \(G\) has an vertex labeling (edge labeling) with \(d\) labels that is preserved only by a trivial automorphism. Let \(G\) be a connected graph constructed from pairwise disjoint connected graphs \(G_1,\dots,G_k\) by selecting a vertex ...
Alikhani, Saeid, Soltani, Samaneh
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An upper bound on the distinguishing index of graphs with minimum degree at least two
, 2017The distinguishing index of a simple graph $G$, denoted by $D'(G)$, is the least number of labels in an edge labeling of $G$ not preserved by any non-trivial automorphism.
S. Alikhani, S. Soltani
semanticscholar +1 more source
Neighbor Sum Distinguishing Index of Sparse Graphs
Acta Mathematica Sinica. English series, 2020Ji Hui Wang, Baojian Qiu, Jiansheng Cai
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Two-Distance Vertex-Distinguishing Index of Sparse Subcubic Graphs
Bulletin of the Malaysian Mathematical Sciences Society, 2019Loumngam Kamga Victor +2 more
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Strict neighbor-distinguishing index of K4-minor-free graphs
Discrete Applied Mathematics, 2023Weifan Wang, Yiqiao Wang
exaly
The optimal general upper bound for the distinguishing index of infinite graphs
Journal of Graph Theory, 2020Monika Pilśniak, Marcin Stawiski
exaly

