Zumkeller Cordial Labeling of Graphs

被引：0

作者：

Murali, B. J. ^{[1
]}

Thirusangu, K. ^{[2
]}

Meenakshi, R. Madura ^{[2
]}

机构：

[1] Bharathiar Univ, Ctr Res & Dev, Coimbatore 641046, Tamil Nadu, India

[2] SIVET Coll, Dept Math, Madras 600073, Tamil Nadu, India

来源：

COMPUTATIONAL INTELLIGENCE, CYBER SECURITY AND COMPUTATIONAL MODELS, ICC3 2015 | 2016年 / 412卷

关键词：

Graphs; Zumkeller numbers; Zumkeller labeling; Zumkeller cordial labeling; ALGORITHMS;

D O I：

10.1007/978-981-10-0251-9_49

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper we introduce a new graph labeling called Zumkeller cordial labeling of a graph G = (V, E). It can be defined as an injective function f: V -> N such that the induced function f* : E -> {0, 1} defined by f*(xy) = f(x) f(y) is 1 if f(x) f(y) is a Zumkeller number and 0 otherwise with the condition vertical bar e(f)*(0) - e(f)*(1)vertical bar <= 1. We make use of a technique of generating Zumkeller numbers and the concept of cordiality in the labeling of graphs.

引用

页码：533 / 541

页数：9

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