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首页> 外文期刊>Journal of Combinatorial Theory, Series B >Fractional total colourings of graphs of high girth
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Fractional total colourings of graphs of high girth

机译:高周长图的分数总着色

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摘要

Reed conjectured that for every > 0 and there exists gsuch that the fractional total chromatic number of a graph withmaximum degree and girth at least g is at most + 1 + .We prove the conjecture for = 3 and for even 4 in thefollowing stronger form: For each of these values of , there existsg such that the fractional total chromatic number of any graphwith maximum degree and girth at least g is equal to +1.
机译:里德(Reed)猜想,对于每一个大于0的g,最大度数和周长至少为g的图的分数总色数最​​多为+ 1 +。我们以更强的形式证明= 3甚至4的猜想:对于的每个这些值,存在使得最大度数和周长至少为g的任何图的分数总色数等于​​+1。

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