Smallest Cubic Graphs with Given Girth and Skewness

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.

Publication Details

Journal
Springer Link (Chiba Institute of Technology)
Published
2024-08-21
DOI
https://doi.org/10.1051/itmconf/20246701028/pdf
Primary Topic
Mycorrhizal Fungi and Plant Interactions
Type
article
Field-Weighted Citation Impact
0.00

Funders

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article

Smallest Cubic Graphs with Given Girth and Skewness

Springer Link (Chiba Institute of Technology)
Mycorrhizal Fungi and Plant Interactions
article

Smallest Cubic Graphs with Given Girth and Skewness

article en

Abstract

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.

Springer Link (Chiba Institute of Technology)
Universiti Tunku Abdul Rahman, Division of Mathematical Sciences
Openalex Percentile: Top 60%
Mycorrhizal Fungi and Plant Interactions
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Smallest Cubic Graphs with Given Girth and Skewness · Springer Link (Chiba Institute of Technology) (2024) | TGRS Research Map | TGRS