Long Snakes in Powers of the Complete Graph with an Odd Number of Vertices
نویسنده
چکیده
In [5] Abbott and Katchalski ask if there exists a constant c > 0 such that for every d ≥ 2 there is a snake (cycle without chords) of length at least c3 in the product of d copies of the complete graph K3. We show that the answer to the above question is positive, and that in general for any odd integer n there is a constant cn such that for every d ≥ 2 there is a snake of length at least cnn d in the product of d copies of the complete graph Kn. 1991 Mathematics Subject Classification 05C35, 05C38 1
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تاریخ انتشار 2000