On the Crossing Points of Circulant Graphs C(9, 3)

Weihua Lu, Fang Li, Han Ren, Junjie Lu, Dengju Ma

Article ID: 2481
Vol 6, Issue 2, 2023

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Abstract


It is well known that determining the exact values of crossing number for circulant graphs is very difficult. Even so, some important results in this field are still proved. D.J. Ma was proved that the crossing number of C(2m + 2, m) is m + 1[8]. Then such problem for C(n, 3) was further solved [7]. Pak Tung Ho and X. Lin obtained accurate values for the crossover numbers of C (3m, m) and C (3m + 1, m)[4][5]. In this paper, as a complement, we show that the edges from the principal cycle of C(9, 3) do not cross each other in an optimal drawing.


Keywords


Crossing Number; Crossing Point; Circulant Graphs

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References


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DOI: https://doi.org/10.24294/ijmss.v6i2.2481

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