The 6-girth-thickness of the complete graph

The g-girth-thickness of a graph G is the minimum number of planar subgraphs of girth at least g whose union is G. In this paper, we determine the 6-girth-thickness of the complete graph Kn in almost all cases. And also, we calculate by computer the missing value of

Bibliographic Details
Main Authors: Héctor Castañeda-López, Pablo C. Palomino, Andrea B. Ramos-Tort, Christian Rubio-Montiel, Claudia Silva-Ruiz
Format: Article
Language:English
Published: Taylor & Francis Group 2020-09-01
Series:AKCE International Journal of Graphs and Combinatorics
Subjects:
Online Access:http://dx.doi.org/10.1016/j.akcej.2019.05.004
_version_ 1818364013166198784
author Héctor Castañeda-López
Pablo C. Palomino
Andrea B. Ramos-Tort
Christian Rubio-Montiel
Claudia Silva-Ruiz
author_facet Héctor Castañeda-López
Pablo C. Palomino
Andrea B. Ramos-Tort
Christian Rubio-Montiel
Claudia Silva-Ruiz
author_sort Héctor Castañeda-López
collection DOAJ
description The g-girth-thickness of a graph G is the minimum number of planar subgraphs of girth at least g whose union is G. In this paper, we determine the 6-girth-thickness of the complete graph Kn in almost all cases. And also, we calculate by computer the missing value of
first_indexed 2024-12-13T21:57:37Z
format Article
id doaj.art-9d23c04ae4a8408eb4a0c904d2c7bfdb
institution Directory Open Access Journal
issn 0972-8600
2543-3474
language English
last_indexed 2024-12-13T21:57:37Z
publishDate 2020-09-01
publisher Taylor & Francis Group
record_format Article
series AKCE International Journal of Graphs and Combinatorics
spelling doaj.art-9d23c04ae4a8408eb4a0c904d2c7bfdb2022-12-21T23:30:06ZengTaylor & Francis GroupAKCE International Journal of Graphs and Combinatorics0972-86002543-34742020-09-0117385686110.1016/j.akcej.2019.05.0041739897The 6-girth-thickness of the complete graphHéctor Castañeda-López0Pablo C. Palomino1Andrea B. Ramos-Tort2Christian Rubio-Montiel3Claudia Silva-Ruiz4Universidad Autónoma del Estado de MéxicoUniversidad Nacional Autónoma de MéxicoUniversidad Nacional Autónoma de MéxicoUniversidad Nacional Autónoma de MéxicoUniversidad Nacional Autónoma de MéxicoThe g-girth-thickness of a graph G is the minimum number of planar subgraphs of girth at least g whose union is G. In this paper, we determine the 6-girth-thickness of the complete graph Kn in almost all cases. And also, we calculate by computer the missing value ofhttp://dx.doi.org/10.1016/j.akcej.2019.05.004thicknessplanar decompositioncomplete graphgirth
spellingShingle Héctor Castañeda-López
Pablo C. Palomino
Andrea B. Ramos-Tort
Christian Rubio-Montiel
Claudia Silva-Ruiz
The 6-girth-thickness of the complete graph
AKCE International Journal of Graphs and Combinatorics
thickness
planar decomposition
complete graph
girth
title The 6-girth-thickness of the complete graph
title_full The 6-girth-thickness of the complete graph
title_fullStr The 6-girth-thickness of the complete graph
title_full_unstemmed The 6-girth-thickness of the complete graph
title_short The 6-girth-thickness of the complete graph
title_sort 6 girth thickness of the complete graph
topic thickness
planar decomposition
complete graph
girth
url http://dx.doi.org/10.1016/j.akcej.2019.05.004
work_keys_str_mv AT hectorcastanedalopez the6girththicknessofthecompletegraph
AT pablocpalomino the6girththicknessofthecompletegraph
AT andreabramostort the6girththicknessofthecompletegraph
AT christianrubiomontiel the6girththicknessofthecompletegraph
AT claudiasilvaruiz the6girththicknessofthecompletegraph
AT hectorcastanedalopez 6girththicknessofthecompletegraph
AT pablocpalomino 6girththicknessofthecompletegraph
AT andreabramostort 6girththicknessofthecompletegraph
AT christianrubiomontiel 6girththicknessofthecompletegraph
AT claudiasilvaruiz 6girththicknessofthecompletegraph