Class of Crosscap Two Graphs Arising from Lattices–I-Reference-Cited by-同舟云学术

Class of Crosscap Two Graphs Arising from Lattices–I

Published:2023-03-22 Issue:6 Volume:11 Page:1553
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Asir T.¹^ORCID,Mano K.²,Al-Bar Jehan A.³,Fakieh Wafaa M.³

Affiliation:

1. Department of Mathematics, Pondicherry University, Pondicherry 605 014, Tamil Nadu, India

2. Department of Mathematics, Fatima College, Madurai 625 018, Tamil Nadu, India

3. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21461, Saudi Arabia

Abstract

Let L be a lattice. The annihilating-ideal graph of L is a simple graph whose vertex set is the set of all nontrivial ideals of L and whose two distinct vertices I and J are adjacent if and only if I∧J=0. In this paper, crosscap two annihilating-ideal graphs of lattices with at most four atoms are characterized. These characterizations provide the classes of multipartite graphs, which are embedded in the Klein bottle.

Funder

Deanship of Scientific Research (DSR) at King Abdulaziz University

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/6/1553/pdf

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