Equitable total chromatic number of splitting graph G. Jayaraman, D. Muthuramakrishnan, K. Manikandan Proyecciones, 2019 Among the varius coloring of graphs, the concept of equitable total coloring of graph G is the coloring of all its vertices and edges in which the number of elements in any two color classes differ by atmost one. The minimum number of colors required is called its equitable total chromatic number. In this paper, we determine an equitable total chromatic number of splitting graph of Pn, Cn and K1,n.
Equitable Coloring of Some Convex Polytope Graphs K. Manikandan, T. Harikrishnan International Journal of Applied and Computational Mathematics, 2018 A proper coloring of graph G is said to be equitable if the number of element(Vertices) in any two color classes differ by atmost one. In equitable coloring the minimum number of color classes is called the equitable chromatic number. In this paper, we found some theorems on equitable coloring and derived the equitable chromatic number of convex polytope graphs with certain pendant edges added.
RECENT SCHOLAR PUBLICATIONS
An equitable edge coloring of some classes of product of graphs K Manikandan, SM Aliyar, S Manimaran Malaya Journal of matematik 8 (4), 1354-1357 , 2020 2020 Citations: 5
AN EQUITABLE TOTAL COLORING OF SOME CLASSES OF PRODUCT OF GRAPHS SM ALIYAR, K MANIKANDAN, S MANIMARAN Advances in Mathematics: Scientific Journal 9, 8357–8365 , 2020 2020
Equitable total chromatic number of splitting graph G Jayaraman, D Muthuramakrishnan, K Manikandan Proyecciones (Antofagasta) 38 (4), 699-705 , 2019 2019 Citations: 5
Equitable Total Coloring of Direct Product of Path and Cycle SM Aliyar, S Manimaran, K Manikandan Journal of Computer and Mathematical Sciences 10 (7), 1476-1481 , 2019 2019
TOPOLOGICAL INDICES OF X (Zn, C)-GRAPH K MANIKANDAN, T HARIKRISHNAN Journal of Applied Science and Computations 6 (6), 3013-3020 , 2019 2019
Equitable coloring of some convex polytope graphs K Manikandan, T Harikrishnan International Journal of Applied and computational mathematics 4 (5), 119 , 2018 2018 Citations: 2
ANTI-MAGIC LABELING FOR BOOLEAN GRAPH OF CYCLE 𝐵𝐺(𝐶𝑛) KSS T. Subhramaniyan International Journal of Engineering, Science and Mathematics 7 (10) , 2018 2018
Total coloring of central graphs of a path, a cycle and a star. KM S. Sudha International Journal of Scientific and Innovative Mathematical Research … , 2017 2017 Citations: 14
Adjacent vertex distinguishing total coloring of grid graphs and shadow graphs SSK Manikandan Global Journal of Pure and Applied Mathematics 12 (4), 64-70 , 2016 2016
Total chromatic number of Sudha grid graphs, gear and crown graphs S Sudha, K Manikandan International Journal of Pure and Applied Mathematics 109 (8), 7-15 , 2016 2016 Citations: 1
Adjacent vertex Distinguishing total coloring of Corona graphs KM S. Sudha Asian Journal of Current Engineering and Maths 4 (1), 8-19 , 2015 2015
General Pattern of Total Coloring of a Prism Graph of-Layers and a Grid Graph S Sudha, K Manikandan International Journal of Innovative Science and Modern Engineering (IJISME) 3, 3 , 2015 2015 Citations: 5
Total coloring of S(n,m)-graph S Sudha, K Manikandan International Journal of Scientific and Innovative Mathematical Research 2 … , 2014 2014 Citations: 4
MOST CITED SCHOLAR PUBLICATIONS
Total coloring of central graphs of a path, a cycle and a star. KM S. Sudha International Journal of Scientific and Innovative Mathematical Research … , 2017 2017 Citations: 14
An equitable edge coloring of some classes of product of graphs K Manikandan, SM Aliyar, S Manimaran Malaya Journal of matematik 8 (4), 1354-1357 , 2020 2020 Citations: 5
Equitable total chromatic number of splitting graph G Jayaraman, D Muthuramakrishnan, K Manikandan Proyecciones (Antofagasta) 38 (4), 699-705 , 2019 2019 Citations: 5
General Pattern of Total Coloring of a Prism Graph of-Layers and a Grid Graph S Sudha, K Manikandan International Journal of Innovative Science and Modern Engineering (IJISME) 3, 3 , 2015 2015 Citations: 5
Total coloring of S(n,m)-graph S Sudha, K Manikandan International Journal of Scientific and Innovative Mathematical Research 2 … , 2014 2014 Citations: 4
Equitable coloring of some convex polytope graphs K Manikandan, T Harikrishnan International Journal of Applied and computational mathematics 4 (5), 119 , 2018 2018 Citations: 2
Total chromatic number of Sudha grid graphs, gear and crown graphs S Sudha, K Manikandan International Journal of Pure and Applied Mathematics 109 (8), 7-15 , 2016 2016 Citations: 1
AN EQUITABLE TOTAL COLORING OF SOME CLASSES OF PRODUCT OF GRAPHS SM ALIYAR, K MANIKANDAN, S MANIMARAN Advances in Mathematics: Scientific Journal 9, 8357–8365 , 2020 2020
Equitable Total Coloring of Direct Product of Path and Cycle SM Aliyar, S Manimaran, K Manikandan Journal of Computer and Mathematical Sciences 10 (7), 1476-1481 , 2019 2019
TOPOLOGICAL INDICES OF X (Zn, C)-GRAPH K MANIKANDAN, T HARIKRISHNAN Journal of Applied Science and Computations 6 (6), 3013-3020 , 2019 2019
ANTI-MAGIC LABELING FOR BOOLEAN GRAPH OF CYCLE 𝐵𝐺(𝐶𝑛) KSS T. Subhramaniyan International Journal of Engineering, Science and Mathematics 7 (10) , 2018 2018
Adjacent vertex distinguishing total coloring of grid graphs and shadow graphs SSK Manikandan Global Journal of Pure and Applied Mathematics 12 (4), 64-70 , 2016 2016
Adjacent vertex Distinguishing total coloring of Corona graphs KM S. Sudha Asian Journal of Current Engineering and Maths 4 (1), 8-19 , 2015 2015