Results 1 to 10 of about 2,302 (247)

On the distinguishing chromatic number of the Kronecker products of graphs [PDF]

open access: yesAKCE International Journal of Graphs and Combinatorics, 2023
In this paper, we investigate the distinguishing chromatic number of Kronecker product of paths, cycles, star graphs, symmetric trees, almost symmetric trees, and bisymmetric trees.
Mojgan Afkhami, Kazem Khashyarmanesh
exaly   +5 more sources

On the local distinguishing chromatic number [PDF]

open access: yesAKCE International Journal of Graphs and Combinatorics, 2019
The distinguishing number of graphs is generalized in two directions by Cheng and Cowen (local distinguishing number) and Collins and Trenk (Distinguishing chromatic number). In this paper, we define and study the local distinguishing chromatic number of
Omid Khormali
exaly   +5 more sources

The distinguishing chromatic number of Cartesian products of two complete graphs [PDF]

open access: yesDiscrete Mathematics, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sandi Klavžar, Janja Jerebic
exaly   +4 more sources

Distinguishing chromatic number of random Cayley graphs [PDF]

open access: yesDiscrete Mathematics, 2017
11 ...
Sajith Padinhatteeri   +1 more
exaly   +5 more sources

The edge-distinguishing chromatic number of petal graphs, chorded cycles, and spider graphs [PDF]

open access: yesElectronic Journal of Graph Theory and Applications, 2022
The edge-distinguishing chromatic number (EDCN) of a graph G is the minimum positive integer k such that there exists a vertex coloring c : V(G)→{1, 2, …, k} whose induced edge labels {c(u),c(v)} are distinct for all edges uv.
Grant Fickes, Wing Hong Tony Wong
doaj   +4 more sources

The adjacent vertex distinguishing total chromatic number [PDF]

open access: yesDiscrete Mathematics, 2012
A well-studied concept is that of the total chromatic number. A proper total colouring of a graph is a colouring of both vertices and edges so that every pair of adjacent vertices receive different colours, every pair of adjacent edges receive different colours and every vertex and incident edge receive different colours.
Coker, Tom, Johannson, Karen R
exaly   +6 more sources

Equitable distinguishing chromatic number

open access: yesIndian Journal of Pure and Applied Mathematics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kazem Khashyarmanesh   +1 more
exaly   +2 more sources

The chromatic distinguishing index of certain graphs

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
exaly   +2 more sources

On computing the distinguishing and distinguishing chromatic numbers of interval graphs and other results

open access: yesDiscrete Mathematics, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly   +3 more sources

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