K-PRODUCT CORDIAL LABELING OF FAN GRAPHS

被引：0

作者：

Daisy, K. J. ^{[1
]}

Sabibha, R. S. ^{[2
]}

Jeyanthi, P. ^{[3
]}

Youssef, M. Z. ^{[4
,5
]}

机构：

[1] Coll Holy Cross, Dept Math, Nagercoil, Tamil Nadu, India

[2] Manonmaniam Sundaranar Univ, Tirunelveli, Tamil Nadu, India

[3] Govindammal Aditanar Coll Women, Dept Math, Tiruchendur 628215, Tamil Nadu, India

[4] Imam Mohammad Ibn Saud Islamic Univ, Dept Math & Stat, Coll Sci, Riyadh 11623, Saudi Arabia

[5] Ain Shams Univ, Dept Math, Fac Sci, Cairo, Egypt

来源：

TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS | 2023年 / 13卷 / 01期

关键词：

cordial labeling; product cordial labeling; k-product cordial labeling; 4-product cordial graph; 5-product cordial graph;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let f be a map from V (G) to {0, 1, ..., k-1} where k is an integer, 1 <= k <= |V (G)|. For each edge uv assign the label f(u)f(v)(mod k). f is called a k-product cordial labeling if |v(f) (i) - v(f) (j)| <= 1, and |e(f) (i) - e(f) (j)| <= 1, i, j is an element of {0, 1, ..., k-1}, where v(f) (x) and e(f) (x) denote the number of vertices and edges respectively labeled with x (x = 0, 1, ..., k - 1). In this paper we prove that fan F-n and double fan DFn when k=4 and 5 admit k-product cordial labeling.

引用

页码：11 / 20

页数：10

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