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Home > Art, Film & Photography > Matching: Assignment Problem, Claw-Free Graph, Hopcroft-Karp Algorithm, Hungarian Algorithm, Konig's Theorem, Skew-Symmetric Graph
Matching: Assignment Problem, Claw-Free Graph, Hopcroft-Karp Algorithm, Hungarian Algorithm, Konig's Theorem, Skew-Symmetric Graph

Matching: Assignment Problem, Claw-Free Graph, Hopcroft-Karp Algorithm, Hungarian Algorithm, Konig's Theorem, Skew-Symmetric Graph


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About the Book

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 26. Chapters: Assignment problem, Claw-free graph, Hopcroft-Karp algorithm, Hungarian algorithm, Konig's theorem, Skew-symmetric graph, Edmonds's matching algorithm, Stable marriage problem, Hall's marriage theorem, Stable roommates problem, 3-dimensional matching, Domino tiling, Matching polynomial, Hosoya index, Matching preclusion, Tutte-Berge formula, Berge's lemma, Quantum dimer models, Factor-critical graph, Dulmage-Mendelsohn decomposition, Saturation. Excerpt: In graph theory, an area of mathematics, a claw-free graph is a graph that does not have a claw as an induced subgraph. A claw is another name for the complete bipartite graph K1,3 (that is, a star graph with three edges, three leaves, and one central vertex). A claw-free graph is a graph in which no induced subgraph is a claw; i.e., any subset of four vertices has other than only three edges connecting them in this pattern. Equivalently, a claw-free graph is a graph in which the neighborhood of any vertex is the complement of a triangle-free graph. Another visualisation of a clawClaw-free graphs were initially studied as a generalization of line graphs, and gained additional motivation through three key discoveries about them: the fact that all claw-free connected graphs of even order have perfect matchings, the discovery of polynomial time algorithms for finding maximum independent sets in claw-free graphs, and the characterization of claw-free perfect graphs. They are the subject of hundreds of mathematical research papers and several surveys. The regular icosahedron, a polyhedron whose vertices and edges form a claw-free graph. It is straightforward to verify that a given graph with n vertices and m edges is claw-free in time O(n), by testing each 4-tuple of vertices to determine whether they induce a claw. Somewhat more efficiently, but more complicatedly, one ...


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Product Details
  • ISBN-13: 9781155229751
  • Publisher: Books LLC, Wiki Series
  • Publisher Imprint: Books LLC, Wiki Series
  • Height: 246 mm
  • No of Pages: 28
  • Spine Width: 2 mm
  • Weight: 68 gr
  • ISBN-10: 1155229754
  • Publisher Date: 27 Jul 2011
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Sub Title: Assignment Problem, Claw-Free Graph, Hopcroft-Karp Algorithm, Hungarian Algorithm, Konig's Theorem, Skew-Symmetric Graph
  • Width: 189 mm


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