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Titlebook: WALCOM: Algorithms and Computation; Third International Sandip Das,Ryuhei Uehara Conference proceedings 2009 Springer-Verlag Berlin Heidel

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Recursive Generation of 5-Regular Planar Graphspplying a few local expansion operations. The proof uses an innovative amalgam of theory and computation. By incorporating the recursion into the canonical construction path method of isomorph rejection, a generator of non-isomorphic embedded 5-regular planar graphs is obtained with time complexity
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Generating All Triangulations of Plane Graphs (Extended Abstract)triconnected plane graph . of . vertices. Our algorithm establishes a tree structure among the triangulations of ., called the “tree of triangulations,” and generates each triangulation of . in .(1) time. The algorithm uses .(.) space and generates all triangulations of . without duplications. To th
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Recognition of Unigraphs through Superposition of Graphs (Extended Abstract)duced: vertex set is partitioned into three disjoint sets while edge set is divided into two different classes. This characterization allows us to design a linear time recognition algorithm that works recursively pruning the degree sequence of the graph. The algorithm detects two particular graphs w
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Recognition of Unigraphs through Superposition of Graphs (Extended Abstract)duced: vertex set is partitioned into three disjoint sets while edge set is divided into two different classes. This characterization allows us to design a linear time recognition algorithm that works recursively pruning the degree sequence of the graph. The algorithm detects two particular graphs w
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Random Generation and Enumeration of Proper Interval Graphsng it, a simple algorithm that generates a connected proper interval graph uniformly at random up to isomorphism is presented. Finally an enumeration algorithm of connected proper interval graphs is proposed. The algorithm is based on the reverse search, and it outputs each connected proper interval
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