Relevant bibliographies by topics / Equitable total coloring

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  2. Conference papers

Academic literature on the topic 'Equitable total coloring'

Author: Grafiati
Published: 3 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Equitable total coloring"

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Rupam, Shrivastava, and Dr. Satish Agnihotri Prof. "A Study on the Total Coloring and Equitable Total Coloring for Splitting Graph." International Journal of Contemporary Research in Multidisciplinary 3, no. 5 (2024): 137–42. https://doi.org/10.5281/zenodo.13862782.

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This study focuses on the total coloring and equitable total coloring of splitting graphs, an area of graph theory that examines the assignment of colors to both vertices and edges under specific constraints. Total coloring involves assigning distinct colors to adjacent or incident elements (vertices and edges) in such a way that no two adjacent or incident elements share the same color. Equitable total coloring further requires the distribution of colors across vertices and edges to be as balanced as possible. The splitting graph, derived from a base graph by splitting its vertices, presents
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R. Sudhakar. "Equitable Total Coloring of Line Graph of Certain Graphs." Communications on Applied Nonlinear Analysis 32, no. 9s (2025): 2370–79. https://doi.org/10.52783/cana.v32.4524.

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An equitable total-coloring of a graph G is a proper total-coloring such that the number of vertices and edges in any two color classes differ by at most one. In this paper, we determined the equitable total chromatic number for line graph of ladder, slanting ladder, triangular snake, alternate triangular snake, quadrilateral snake and alternate quadrilateral snake Introduction: Graph coloring is a fundamental problem in graph theory with applications in scheduling, networking, and resource allocation. A total-coloring of a graph G is an assignment of colors to both vertices and edges such tha
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Kaul, Hemanshu, Jeffrey A. Mudrock, and Michael J. Pelsmajer. "Total Equitable List Coloring." Graphs and Combinatorics 34, no. 6 (2018): 1637–49. http://dx.doi.org/10.1007/s00373-018-1965-x.

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Gonçalves, Isabel F. A., Simone Dantas, and Diana Sasaki. "On equitable total coloring of snarks." Procedia Computer Science 195 (2021): 334–42. http://dx.doi.org/10.1016/j.procs.2021.11.041.

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Tong, Chunling, Lin Xiaohui, Yang Yuansheng, and Li Zhihe. "Equitable total coloring of Cm□Cn." Discrete Applied Mathematics 157, no. 4 (2009): 596–601. http://dx.doi.org/10.1016/j.dam.2008.08.030.

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Gui, Hao, Weifan Wang, Yiqiao Wang, and Zhao Zhang. "Equitable total-coloring of subcubic graphs." Discrete Applied Mathematics 184 (March 2015): 167–70. http://dx.doi.org/10.1016/j.dam.2014.11.014.

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Gong, Kun, Zhong-fu Zhang, and Jian-fang Wang. "Equitable total coloring of F n ⋁ W n." Acta Mathematicae Applicatae Sinica, English Series 25, no. 1 (2008): 83–86. http://dx.doi.org/10.1007/s10255-006-6031-4.

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Lozano, Abel Rodolfo García, Angelo Santos Siqueira, Clícia Valladares Peixoto Friedmann, and Samuel Jurkiewicz Jurkiewicz. "RELATIONSHIP BETWEEN EQUITABLE TOTAL COLORING AND RANGE COLORING IN SOME REGULAR GRAPHS." Pesquisa Operacional 36, no. 1 (2016): 101–11. http://dx.doi.org/10.1590/0101-7438.2016.036.01.0101.

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Huanping, Zhao, Xue Dangqin, and Shi Huojie. "Strong Vertex-distinguishing Total Coloring Algorithm for Complete Graphs based on Equitable Coloring." Journal of Engineering Science and Technology Review 13, no. 1 (2020): 126–32. http://dx.doi.org/10.25103/jestr.131.17.

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Wang, Wei-Fan. "Equitable Total Coloring of Graphs with Maximum Degree 3." Graphs and Combinatorics 18, no. 3 (2002): 677–85. http://dx.doi.org/10.1007/s003730200051.

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Conference papers on the topic "Equitable total coloring"

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Adauto, Matheus N., Celina M. H. de Figueiredo, and Diana Sasaki. "Three Questions about Equitable Total Coloring of Small Cubic Graphs." In Encontro de Teoria da Computação. Sociedade Brasileira de Computação - SBC, 2022. http://dx.doi.org/10.5753/etc.2022.222596.

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A total coloring assigns colors to the vertices and edges of a graph without conflicts and it is called equitable if the cardinalities of any two color classes differ by at most 1. In 2020, Stemock considered equitable total colorings of small cubic graphs and conjectured that every 4-total coloring of a cubic graph with less than 20 vertices is equitable. We present counterexamples to Stemock’s conjecture. We determine that every 4-total coloring must be equitable on all cubic graphs with 6, 8, 10, and 14 vertices. On the other hand, for cubic graphs with 12, 16, and 18 vertices, we character
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"Incidence-Adjacent Vertex Distinguishing Equitable Total Coloring of Mycielski Graphs." In 2020 4th International Conference on Computer Engineering, Information Science & Application Technology. Clausius Scientific Press, 2020. http://dx.doi.org/10.23977/iccia2020060.

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Tian, Jing-jing. "On the Equitable Total Colorings of Sm V Pn V Pn." In 2010 International Conference on Computational Intelligence and Software Engineering (CiSE). IEEE, 2010. http://dx.doi.org/10.1109/cise.2010.5677022.

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