Issue |
ITM Web Conf.
Volume 67, 2024
The 19th IMT-GT International Conference on Mathematics, Statistics and Their Applications (ICMSA 2024)
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Article Number | 01028 | |
Number of page(s) | 8 | |
Section | Mathematics, Statistics and Their Applications | |
DOI | https://doi.org/10.1051/itmconf/20246701028 | |
Published online | 21 August 2024 |
Smallest Cubic Graphs with Given Girth and Skewness
Department of Mathematical and Actuarial Sciences, Universiti Tunku Abdul Rahman, Sungai Long Campus, Cheras 43000 Kajang, Selangor, Malaysia
* e-mail: ng1902147@1utar.my
** e-mail: chiagl@utar.edu.my
The skewness of a graph is the minimum number of its edges whose deletion results in a planar graph. We determine the minimum orders of cubic graphs with girth no more than 6 and skewness no more than 4. In passing, we also determine the skewness of all cubic cages whose girth is no more than 8.
© The Authors, published by EDP Sciences, 2024
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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