[HTML][HTML] Vertex-, edge-, and total-colorings of Sierpiński-like graphs

M Jakovac, S Klavžar - Discrete Mathematics, 2009 - Elsevier
Vertex-colorings, edge-colorings and total-colorings of the Sierpiński gasket graphs Sn, the
Sierpiński graphs S (n, k), graphs S+ (n, k), and graphs S++ (n, k) are considered. In …

Total colorings of product graphs

J Geetha, K Somasundaram - Graphs and Combinatorics, 2018 - Springer
A total coloring of a graph is an assignment of colors to all the elements of the graph in such
a way that no two adjacent or incident elements receive the same color. In this paper, we …

On total coloring the direct product of cycles and bipartite direct product of graphs

D Castonguay, CMH de Figueiredo, LAB Kowada… - Discrete …, 2023 - Elsevier
A k-total coloring of a graph G is an assignment of k colors to its elements (vertices and
edges) so that adjacent or incident elements have different colors. The total chromatic …

Total coloring of some classes of cayley graphs on non-abelian groups

S Prajnanaswaroopa, J Geetha, K Somasundaram… - Symmetry, 2022 - mdpi.com
Total Coloring of a graph G is a type of graph coloring in which any two adjacent vertices, an
edge, and its incident vertices or any two adjacent edges do not receive the same color. The …

Total colorings of cartesian products of graphs

A Kemnitz, M Marangio - Congressus Numerantium, 2003 - bgw.labri.fr
A total coloring of a finite and simple graph G is an assignment of colors to the elements
(vertices and edges) of G such that neighbored elements (two adjacent vertices or two …

On total chromatic number of direct product graphs

K Prnaver, B Zmazek - Journal of applied mathematics and computing, 2010 - Springer
Coloring of the graph products, especially vertex and edge coloring, has been widely
researched for all types of graph products. For total graph coloring, as combination of edge …

Relationship between equitable total coloring and range coloring in some regular graphs

ARG Lozano, AS Siqueira, CVP Friedmann… - Pesquisa …, 2016 - SciELO Brasil
This work aims to study the equitable total coloring into subfamilies of regular graphs. For
this purpose, we use some relationships between equitable total coloring and range (vertex) …

Colorings of some Cayley graphs.

S Prajnanaswaroopa - arXiv preprint arXiv:2305.11623, 2023 - arxiv.org
Cayley graphs are graphs on algebraic structures, typically groups or group-like structures.
In this paper, we have obtained a few results on Cayley graphs on Cyclic groups, powers of …

Total chromatic number for certain classes of product graphs.

TP Sandhiya, J Geetha… - Discrete Mathematics …, 2024 - search.ebscohost.com
Total coloring is a function that assigns colors to the vertices and edges of the graph such
that the adjacent and the incident elements receive different colors. The minimum number of …

Most direct product of graphs are Type 1

D Castonguay, CMH de Figueiredo, LA Kowada… - arXiv preprint arXiv …, 2021 - arxiv.org
A\textit {$ k $-total coloring} of a graph $ G $ is an assignment of $ k $ colors to its elements
(vertices and edges) so that adjacent or incident elements have different colors. The total …