Gossiping properties of the edge-permuted Knödel graphs

V. Hovnanyan, S. Poghosyan, V. Poghosyan
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Abstract

In this paper we consider the gossiping process implemented on several modifications of Knödel graphs. We show the ability of Knödel graphs to remain good network topology for gossiping even in case of cyclic permutation of the weights of its edges. We show that the modified graphs are still able to gossip and not isomorphic to Knödel graphs for any even value of n. The results obtained in this paper makes it possible to construct edge-disjoint paths between any pairs of vertices in the Knödel graph.
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边置换Knödel图的八卦性质
本文研究了在Knödel图的几种修改上实现的八卦过程。我们展示了Knödel图的能力,即使在其边的权重循环排列的情况下,也能保持良好的网络拓扑。我们证明了对于任意偶数n,修改后的图仍然能够闲谈且不同构于Knödel图。本文的结果使得在Knödel图中任意顶点对之间构造边不相交路径成为可能。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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