Total irregularity strength for product of two paths

Muhammad Kamran Siddiqui; Muhammad Imran; Muhammad Ibrahim

doi:10.1016/j.akcej.2018.11.001

Total irregularity strength for product of two paths

Muhammad Kamran Siddiqui
, Muhammad Imran
, Muhammad Ibrahim

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we define a totally irregular total labeling for Cartesian and strong product of two paths, which is at the same time vertex irregular total labeling and also edge irregular total labeling. More preciously, we determine the exact value of the total irregularity strength for Cartesian and strong product of two paths.

Original language	English
Pages (from-to)	184-197
Number of pages	14
Journal	AKCE International Journal of Graphs and Combinatorics
Volume	17
Issue number	1
DOIs	https://doi.org/10.1016/j.akcej.2018.11.001
Publication status	Published - Jan 2 2020

Keywords

Cartesian product
Strong product
Total edge irregularity strength
Total irregularity strength
Total vertex irregularity strength

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics

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10.1016/j.akcej.2018.11.001

Cite this

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title = "Total irregularity strength for product of two paths",

abstract = "In this paper we define a totally irregular total labeling for Cartesian and strong product of two paths, which is at the same time vertex irregular total labeling and also edge irregular total labeling. More preciously, we determine the exact value of the total irregularity strength for Cartesian and strong product of two paths.",

keywords = "Cartesian product, Strong product, Total edge irregularity strength, Total irregularity strength, Total vertex irregularity strength",

author = "Siddiqui, \{Muhammad Kamran\} and Muhammad Imran and Muhammad Ibrahim",

note = "Publisher Copyright: {\textcopyright} 2018 Kalasalingam University. Published with license by Taylor \& Francis Group, LLC.",

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AU - Siddiqui, Muhammad Kamran

AU - Imran, Muhammad

AU - Ibrahim, Muhammad

PY - 2020/1/2

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N2 - In this paper we define a totally irregular total labeling for Cartesian and strong product of two paths, which is at the same time vertex irregular total labeling and also edge irregular total labeling. More preciously, we determine the exact value of the total irregularity strength for Cartesian and strong product of two paths.

AB - In this paper we define a totally irregular total labeling for Cartesian and strong product of two paths, which is at the same time vertex irregular total labeling and also edge irregular total labeling. More preciously, we determine the exact value of the total irregularity strength for Cartesian and strong product of two paths.

KW - Cartesian product

KW - Strong product

KW - Total edge irregularity strength

KW - Total irregularity strength

KW - Total vertex irregularity strength

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UR - https://www.scopus.com/pages/publications/85056999916#tab=citedBy

U2 - 10.1016/j.akcej.2018.11.001

DO - 10.1016/j.akcej.2018.11.001

M3 - Article

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SN - 0972-8600

VL - 17

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JO - AKCE International Journal of Graphs and Combinatorics

JF - AKCE International Journal of Graphs and Combinatorics

IS - 1

ER -

Total irregularity strength for product of two paths

Abstract

Keywords

ASJC Scopus subject areas

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