Local antimagic vertex coloring of a Myceilski of graphs

被引：0

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

来源：

JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY | 2024年 / 27卷 / 04期

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

页码：1389 / 1401

页数：13

共 50 条

[31] Local antimagic orientation of graphs
Chang, Yulin
Jing, Fei
Wang, Guanghui
JOURNAL OF COMBINATORIAL OPTIMIZATION, 2020, 39 (04) : 1129 - 1152
[32] On totally antimagic, edge-magic and vertex-antimagic total graphs
Ahmed, Mohammed Ali
Babujee, J. Baskar
Baca, Martin
Semanicova-Fenovcikova, Andrea
UTILITAS MATHEMATICA, 2019, 111 : 161 - 173
[33] The profile of students' creative thinking skills in solving local antimagic vertex coloring problem in researchbased learning
Nazula, N. H.
Dafik
Slamin
2ND INTERNATIONAL CONFERENCE OF COMBINATORICS, GRAPH THEORY, AND NETWORK TOPOLOGY, 2019,
[34] APPLICATIONS OF EDGE COLORING OF MULTIGRAPHS TO VERTEX COLORING OF GRAPHS
KIERSTEAD, HA
DISCRETE MATHEMATICS, 1989, 74 (1-2) : 117 - 124
[35] The relationship between incidence coloring and vertex coloring of graphs
Wang, Shudong
Yan, Lijun
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2007, 14 : 917 - 921
[36] Colorful Paths in Vertex Coloring of Graphs
Akbari, Saieed
Liaghat, Vahid
Nikzad, Afshin
ELECTRONIC JOURNAL OF COMBINATORICS, 2011, 18 (01):
[37] Vertex coloring of graphs with few obstructions
Lozin, V. V.
Malyshev, D. S.
DISCRETE APPLIED MATHEMATICS, 2017, 216 : 273 - 280
[38] Colorful Paths in Vertex Coloring of Graphs
Akbari, S.
Khaghanpoor, F.
Moazzeni, S.
ARS COMBINATORIA, 2016, 124 : 439 - 447
[39] Parity vertex coloring of outerplane graphs
Czap, Julius
DISCRETE MATHEMATICS, 2011, 311 (21) : 2570 - 2573
[40] On local distance antimagic labeling of graphs
Handa, Adarsh Kumar
Godinho, Aloysius
Singh, Tarkeshwar
AKCE INTERNATIONAL JOURNAL OF GRAPHS AND COMBINATORICS, 2024, 21 (01) : 91 - 96

← 1 2 3 4 5 →