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In this paper, it is shown that the graph obtained by overlapping the cycle and the complete tripartite graph at an edge is uniquely determined by its chromatic polynomial.) 3 (≥ m C m 2 , 2 , 2 K Let G be a finite graph with neither loops nor multiple edges and let) ; (λ G P denote its chromatic polynomial. Then G is said to be chromatically unique if) ;… (More)

This paper investigates on those smallest regular graphs with given girths and having small crossing numbers.

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