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Hamiltonian Laceability of Spider Web Networks

蜘蛛網型網路的漢米爾連通性

摘要


本文證明新近所提出的二部圖,蜘蛛網型網路,擁有漢米爾連通性。更具體地說,設G=(V,E)是一個蜘蛛網型網路的圖形,其中V=C∪D且C與D爲它的二個分部點集。則給定任意一對點{x,y}使得x∈C,y∈D,G中必有一條路逕連接x與y且此路逕經過V中所有點恰好一次。

並列摘要


In this paper, we prove the recently proposed family of bipartite graphs, Spider Web Networks [9], are hamiltonian laceable. More precisely, let G=(V, E) be a spider web network with bipartitions C and D. For any pair of nodes {x, y| x∈C, y∈D}, there is a path P between x and y where P visits all nodes in V exactly once.

並列關鍵字

hamiltonian laceable hamiltonian

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