Planar Signed Graphs Whose Circular Chromatic Number Is Between 14 3 and 6
P. Atangana. INTERNATIONAL JOURNAL OF TREND IN SCIENTIFIC RESEARCH AND DEVELOPMENT, 7 (1):
25-31(February 2023)
Abstract
In 2020, Naserasr, Wang and Zhu in 6 constructed a signed planar graph G,s that has a c G = 4 . Moreover every planar signed graph G,s has a c G 6. This paper continues to reinforce this result by using a method allowing to construct, for each rational r 6, a signed planar graph G,s whose c G = r. Considering the previous findings of Moser 2 in 1997 and Zhu 17 in 2001, this clearly indicates that any rational r is the circular chromatic number of a planar signed graph. P. D Ebode Atangana "Planar Signed Graphs Whose Circular Chromatic Number Is Between 14/3 and 6" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-7 | Issue-1 , February 2023, URL: https://www.ijtsrd.com/papers/ijtsrd52626.pdf Paper URL: https://www.ijtsrd.com/mathemetics/other/52626/planar-signed-graphs-whose-circular-chromatic-number-is-between-143-and-6/p-d-ebode-atangana
%0 Journal Article
%1 noauthororeditor
%A Atangana, P. D Ebode
%D 2023
%J INTERNATIONAL JOURNAL OF TREND IN SCIENTIFIC RESEARCH AND DEVELOPMENT
%K Planar circular circular-r-coloring coloring, graphs, signed
%N 1
%P 25-31
%T Planar Signed Graphs Whose Circular Chromatic Number Is Between 14 3 and 6
%U https://www.ijtsrd.com/mathemetics/other/52626/planar-signed-graphs-whose-circular-chromatic-number-is-between-143-and-6/p-d-ebode-atangana
%V 7
%X In 2020, Naserasr, Wang and Zhu in 6 constructed a signed planar graph G,s that has a c G = 4 . Moreover every planar signed graph G,s has a c G 6. This paper continues to reinforce this result by using a method allowing to construct, for each rational r 6, a signed planar graph G,s whose c G = r. Considering the previous findings of Moser 2 in 1997 and Zhu 17 in 2001, this clearly indicates that any rational r is the circular chromatic number of a planar signed graph. P. D Ebode Atangana "Planar Signed Graphs Whose Circular Chromatic Number Is Between 14/3 and 6" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-7 | Issue-1 , February 2023, URL: https://www.ijtsrd.com/papers/ijtsrd52626.pdf Paper URL: https://www.ijtsrd.com/mathemetics/other/52626/planar-signed-graphs-whose-circular-chromatic-number-is-between-143-and-6/p-d-ebode-atangana
@article{noauthororeditor,
abstract = {In 2020, Naserasr, Wang and Zhu in 6 constructed a signed planar graph G,s that has a c G = 4 . Moreover every planar signed graph G,s has a c G 6. This paper continues to reinforce this result by using a method allowing to construct, for each rational r 6, a signed planar graph G,s whose c G = r. Considering the previous findings of Moser 2 in 1997 and Zhu 17 in 2001, this clearly indicates that any rational r is the circular chromatic number of a planar signed graph. P. D Ebode Atangana "Planar Signed Graphs Whose Circular Chromatic Number Is Between 14/3 and 6" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-7 | Issue-1 , February 2023, URL: https://www.ijtsrd.com/papers/ijtsrd52626.pdf Paper URL: https://www.ijtsrd.com/mathemetics/other/52626/planar-signed-graphs-whose-circular-chromatic-number-is-between-143-and-6/p-d-ebode-atangana
},
added-at = {2023-07-01T10:23:02.000+0200},
author = {Atangana, P. D Ebode},
biburl = {https://www.bibsonomy.org/bibtex/2afdc8f6d5003549d099bc0e7e059e742/ijtsrd},
interhash = {582a5c62dc001834e3a5f2d340f17652},
intrahash = {afdc8f6d5003549d099bc0e7e059e742},
issn = {2456-6470},
journal = {INTERNATIONAL JOURNAL OF TREND IN SCIENTIFIC RESEARCH AND DEVELOPMENT},
keywords = {Planar circular circular-r-coloring coloring, graphs, signed},
language = {english},
month = feb,
number = 1,
pages = {25-31},
timestamp = {2023-07-01T10:23:02.000+0200},
title = {Planar Signed Graphs Whose Circular Chromatic Number Is Between 14 3 and 6
},
url = {https://www.ijtsrd.com/mathemetics/other/52626/planar-signed-graphs-whose-circular-chromatic-number-is-between-143-and-6/p-d-ebode-atangana},
volume = 7,
year = 2023
}