%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 }