Lattice Theory
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Home > Art, Film & Photography > Lattice Theory: Complete Lattice, Median Graph, Heyting Algebra, Congruence Lattice Problem, Skew Lattice, Antimatroid
Lattice Theory: Complete Lattice, Median Graph, Heyting Algebra, Congruence Lattice Problem, Skew Lattice, Antimatroid

Lattice Theory: Complete Lattice, Median Graph, Heyting Algebra, Congruence Lattice Problem, Skew Lattice, Antimatroid


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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: 58. Chapters: Complete lattice, Median graph, Heyting algebra, Congruence lattice problem, Skew lattice, Antimatroid, Birkhoff's representation theorem, Formal concept analysis, Semilattice, Dedekind number, Distributive lattice, Residuated lattice, Modular lattice, Lattice Miner, Young-Fibonacci lattice, Join and meet, Dominance order, Young's lattice, Complemented lattice, Free lattice, Union-closed sets conjecture, Lattice of subgroups, Tonnetz, Duality theory for distributive lattices, Tamari lattice, Semimodular lattice, Topkis's theorem, Spectral space, Map of lattices, Lattice-based access control, Esakia duality, Absorption law, Maximal semilattice quotient, De Morgan algebra, 0,1-simple lattice. Excerpt: In mathematics, and more specifically graph theory, a median graph is an undirected graph in which any three vertices a, b, and c have a unique median: a vertex m(a, b, c) that belongs to shortest paths between any two of a, b, and c. The concept of median graphs has long been studied, for instance by Birkhoff & Kiss (1947) or (more explicitly) by Avann (1961), but the first paper to call them "median graphs" appears to be Nebesk'y (1971). As Chung, Graham, and Saks write, "median graphs arise naturally in the study of ordered sets and discrete distributive lattices, and have an extensive literature." In phylogenetics, the Buneman graph representing all maximum parsimony evolutionary trees is a median graph. Median graphs also arise in social choice theory: if a set of alternatives has the structure of a median graph, it is possible to derive in an unambiguous way a majority preference among them. Additional surveys of median graphs are given by Klav ar & Mulder (1999), Bandelt & Chepoi (2008), and Knuth (2008). The median of three vertices in a tree, showing the subtree formed by the union of shortest paths between the ve...


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Product Details
  • ISBN-13: 9781156518359
  • Publisher: Books LLC, Wiki Series
  • Publisher Imprint: Books LLC, Wiki Series
  • Height: 246 mm
  • No of Pages: 60
  • Spine Width: 3 mm
  • Weight: 127 gr
  • ISBN-10: 1156518350
  • Publisher Date: 04 Sep 2011
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Sub Title: Complete Lattice, Median Graph, Heyting Algebra, Congruence Lattice Problem, Skew Lattice, Antimatroid
  • Width: 189 mm


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