Planar Signed Graphs Whose Circular Chromatic Number Is Between 14 3 and 6

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