Results 1 to 10 of about 5,516,987 (160)

The distinguishing number and the distinguishing index of line and graphoidal graph(s) [PDF]

open access: yesAKCE International Journal of Graphs and Combinatorics, 2020
The distinguishing number (index) () of a graph is the least integer such that has a vertex labeling (edge labeling) with labels that is preserved only by a trivial automorphism.
Saeid Alikhani, Samaneh Soltani
doaj   +5 more sources

The chromatic distinguishing index of certain graphs [PDF]

open access: yesAKCE International Journal of Graphs and Combinatorics, 2020
The distinguishing index of a graph , denoted by , is the least number of labels in an edge coloring of not preserved by any non-trivial automorphism. The distinguishing chromatic index of a graph is the least number such that has a proper edge coloring ...
Saeid Alikhani, Samaneh Soltani
doaj   +6 more sources

‎Distinguishing index of Kronecker product of two graphs [PDF]

open access: yesElectronic Journal of Graph Theory and Applications, 2021
The distinguishing index D'(G)  of a graph G is the least integer d such that G has an edge labeling with d labels that is preserved only by a trivial automorphism. The Kronecker product G x H of two graphs G and H is the graph with vertex set V(G) x V(H)
‎Saeid Alikhani, Samaneh Soltani
doaj   +3 more sources

The Distinguishing Number and Distinguishing Index of the Lexicographic Product of Two Graphs [PDF]

open access: yesDiscussiones Mathematicae Graph Theory, 2018
The distinguishing number (index) D(G) (D′(G)) of a graph G is the least integer d such that G has a vertex labeling (edge labeling) with d labels that is preserved only by the trivial automorphism.
Alikhani Saeid, Soltani Samaneh
doaj   +4 more sources

Trees with Distinguishing Index Equal Distinguishing Number Plus One [PDF]

open access: yesDiscussiones Mathematicae Graph Theory, 2020
The distinguishing number (index) D(G) (D′ (G)) of a graph G is the least integer d such that G has an vertex (edge) labeling with d labels that is preserved only by the trivial automorphism.
Alikhani Saeid   +3 more
doaj   +5 more sources

Edge motion and the distinguishing index

open access: yesTheoretical Computer Science, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Monika Pilśniak
exaly   +4 more sources

A Note on Neighbor Expanded Sum Distinguishing Index

open access: yesDiscussiones Mathematicae Graph Theory, 2017
A total k-coloring of a graph G is a coloring of vertices and edges of G using colors of the set [k] = {1, . . . , k}. These colors can be used to distinguish the vertices of G. There are many possibilities of such a distinction.
Flandrin Evelyne   +4 more
doaj   +4 more sources

Precise bounds for the distinguishing index of the Cartesian product

open access: yesTheoretical Computer Science, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aleksandra Gorzkowska   +1 more
exaly   +3 more sources

Some bounds on the neighbor-distinguishing index of graphs

open access: yesDiscrete Mathematics, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Weifan Wang   +2 more
exaly   +3 more sources

Neighbor sum distinguishing index of planar graphs

open access: yesDiscrete Mathematics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhumin Chen
exaly   +4 more sources

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