@article{Al-Bar2023, 
author = {Jehan A. Al-Bar and T. Asir and K. Mano and Wafaa M. Fakieh},
title = {Class of crosscap two graphs arising from lattices-Ⅱ},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {10},
pages = {24802-24824},
keywords = {atom of a lattice, multipartite graphs, Klein bottle, crosscap, annihilating-ideal graph},
url = {https://www.sciopen.com/article/10.3934/math.20231265},
doi = {10.3934/math.20231265},
abstract = {In this series of papers, we study the crosscap two embedding of a class of multipartite graphs, namely, annihilating-ideal graphs of a lattice. In Part 1 of the series [Class of crosscap two graphs arising from lattices-Ⅰ, Mathematics, 11 (2023), 1-26], we classified lattices with the number of atoms less than or equal to 4, whose annihilating-ideal graph can be embedded in the Klein bottle. In this paper, which is Part 2 of the series, we classify all finite lattices with at least 5 atoms whose annihilating-ideal graph is embedded in crosscap two surfaces. These characterizations help us to identify classes of multipartite graphs, which are embedded in the Klein bottle.}
}