L(2,1,1)-labeling of interval graphs

Author:

Amanathulla Sk.1ORCID,Bera Biswajit2,Pal Madhumangal3ORCID

Affiliation:

1. Department of Mathematics, Raghunathpur College, Raghunathpur, Purulia 723121, West Bengal, India

2. Department of Mathematics, Kabi Jagadram Roy Government General Degree College, Mejia, Bankura 722143, West Bengal, India

3. Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Paschim, Midnapore 721102, West Bengal, India

Abstract

[Formula: see text]-labeling problem ([Formula: see text]-[Formula: see text]) is an important topic in discrete mathematics due to its various applications, like in frequency assignment in mobile communication systems, signal processing, circuit design, etc. [Formula: see text]-[Formula: see text] is a special case of [Formula: see text]-[Formula: see text]. An [Formula: see text]-labeling ([Formula: see text]) of a graph [Formula: see text] is a mapping [Formula: see text] such that [Formula: see text] if and only if [Formula: see text], [Formula: see text] if [Formula: see text] or 3, where [Formula: see text] is the distance between the nodes [Formula: see text] and [Formula: see text]. In this work, we have determined the upper bound of [Formula: see text] for interval graph (IG) and obtained a tighter upper bound which is [Formula: see text]. Also, we proposed an efficient algorithm to label any IG by [Formula: see text] and also computed the time complexity of the proposed algorithm.

Publisher

World Scientific Pub Co Pte Ltd

Subject

General Medicine

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. L(3,2,1)-labeling problem of square of path;International Journal of Mathematics for Industry;2023-10-30

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