Local antimagic vertex coloring of a Myceilski of graphs

被引:1
作者
Sethukkarasi, A. [1 ]
Vidyanandini, S. [1 ]
Nayak, Soumya Ranjan [2 ]
机构
[1] SRM Inst Sci & Technol, Coll Engn & Technol, Dept Math, Chennai 603202, Tamil Nadu, India
[2] KIIT Deemed Univ, Sch Comp Engn, Bhubaneswar 751024, Odisha, India
关键词
Antimagic labeling; Local antimagic labeling; Local antimagic chromatic number; Myceilski graph;
D O I
10.47974/JDMSC-1992
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper presents an investigation into the fundamental properties associated with the chromatic mean and variance within specific standard graphs, alongside the application of the Mycielski transformation to select graph structures. Furthermore, our study delves into the practical implications of local antimagic vertex coloring, emphasizing its significance in the fields of network security and anomaly detection
引用
收藏
页码:1389 / 1401
页数:13
相关论文
共 23 条
[1]   Local Antimagic Vertex Coloring of a Graph [J].
Arumugam, S. ;
Premalatha, K. ;
Baa, Martin ;
Semanicova-Fenovcikova, Andrea .
GRAPHS AND COMBINATORICS, 2017, 33 (02) :275-285
[2]  
Batsyn Mikhail, 2012, SPRINGER P MATH STAT, V32, P51
[3]  
Bensmail J, 2017, DISCRETE MATH THEOR, V19
[4]  
Bhoi Akash Kumar, 2022, Lecture Notes in Networks and Systems, V375, P978
[5]   L(2,1)-Labeling of the Iterated Mycielski Graphs of Graphs and Some Problems Related to Matching Problems [J].
Dliou, Kamal ;
El Boujaoui, Hicham ;
Kchikech, Mustapha .
DISCUSSIONES MATHEMATICAE GRAPH THEORY, 2024, 44 (02) :489-518
[6]   Hamiltonicity, diameter, domination, packing, and biclique partitions of Mycielski's graphs [J].
Fisher, DC ;
McKenna, PA ;
Boyer, ED .
DISCRETE APPLIED MATHEMATICS, 1998, 84 (1-3) :93-105
[7]  
Hartsfield N., 1994, PEARLS GRAPH THEORY
[8]  
Haslegrave J, 2018, DISCRETE MATH THEOR, V20
[9]   ON LOCAL ANTIMAGIC CHROMATIC NUMBER OF LEXICOGRAPHIC PRODUCT GRAPHS [J].
Lau, G. -C. ;
Shiu, W. C. .
ACTA MATHEMATICA HUNGARICA, 2023, 169 (1) :158-170
[10]   ON LOCAL ANTIMAGIC CHROMATIC NUMBER OF CYCLE-RELATED JOIN GRAPHS [J].
Lau, Gee-Choon ;
Shiu, Wai-Chee ;
Ng, Ho-Kuen .
DISCUSSIONES MATHEMATICAE GRAPH THEORY, 2021, 41 (01) :133-152