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Titlebook: Combinatorial Algorithms; 23rd International W S. Arumugam,W. F. Smyth Conference proceedings 2012 Springer-Verlag Berlin Heidelberg 2012 a

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Bounds on Quasi-Completeness,A graph . = (.,.) is .-quasi-complete (. ∈ [0,1]) if every vertex in . is connected to at least ..(|.| − 1) other vertices. In this paper, we establish some relationships between the girth and the quasi-completeness of a graph. We also derive an upper bound . for the largest order .-quasi-complete subgraph in a graph of minimum degree ..
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Maximum Order of a Planar Oclique Is 15,An oclique is an oriented graph where every pair of distinct non-adjacent vertices are connected by a directed path of length 2. Klostermeyer and MacGillivray conjectured that the maximum order of a planar oclique is 15. In this article we settle that conjecture.
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Lecture Notes in Computer Sciencehttp://image.papertrans.cn/c/image/229889.jpg
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