Prism和Rook网络的超强完美性

R. M. Jeya Jothi, A. Amutha
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引用次数: 0

摘要

如果G的每一个诱导子图H都有一个极小控制集满足H的所有极大完全子图,那么图G就是超强完美图。本文刻画了Prism和Rook网络中的超强完美图的结构。随着这一特征,我们研究了Prism和Rook网络中的超强完美性。给出了棱镜网络的直径、控制数和共控制数之间的关系。
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Super Strongly Perfect ness of Prism and Rook's Networks
A Graph G is Super Strongly Perfect Graph if every induced sub graph H of G possesses a minimal dominating set that meets all the maximal complete sub graphs of H. In this paper we have characterized the structure of super strongly perfect graphs in Prism and Rook's Networks. Along with this characterization, we have investigated the Super Strongly Perfect ness in Prism and Rook's Networks. Also we have given the relationship between diameter, domination and co-domination numbers of Prism Network.
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