Computational Problems
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Home > Art, Film & Photography > Computational Problems: Decision Problem, AI-Complete, Tutte Polynomial, Permanent Is Sharp-P-Complete, N-Body Problem
Computational Problems: Decision Problem, AI-Complete, Tutte Polynomial, Permanent Is Sharp-P-Complete, N-Body Problem

Computational Problems: Decision Problem, AI-Complete, Tutte Polynomial, Permanent Is Sharp-P-Complete, N-Body Problem


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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: Decision problem, AI-complete, Tutte polynomial, Permanent is sharp-P-complete, N-body problem, Dining philosophers problem, Computing the permanent, Josephus problem, Optimization problem, Computational problem, Unknotting problem, Word problem, Function problem, Sum of radicals, Linear search problem, Promise problem, Covering problem, 3SUM, Set splitting problem, List of PPAD-complete problems, Counting problem, Sharp-SAT. Excerpt: The Tutte polynomial, also called the dichromate or the Tutte-Whitney polynomial, is a polynomial in two variables which plays an important role in graph theory, a branch of mathematics and theoretical computer science. It is defined for every undirected graph and contains information about how the graph is connected. The importance of the Tutte polynomial comes from the information it contains about . Though originally studied in algebraic graph theory as a generalisation of counting problems related to graph coloring and nowhere-zero flow, it contains several famous other specialisations from other sciences such as the Jones polynomial from knot theory and the partition functions of the Potts model from statistical physics. It is also the source of several central computational problems in theoretical computer science. The Tutte polynomial has several equivalent definitions. It is equivalent to Whitney's rank polynomial, Tutte's own dichromatic polynomial and Fortuin-Kasteleyn's random cluster model under simple transformations. It is essentially a generating function for the number of edge sets of a given size and connected components, with immediate generalisations to matroids. It is also the most general graph invariant that can be defined by a deletion-contraction recurrence. Several textbooks about graph theory and matroid theory devote entire chapters to it. For an undirected g...


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Product Details
  • ISBN-13: 9781156428290
  • Publisher: Books LLC, Wiki Series
  • Publisher Imprint: Books LLC, Wiki Series
  • Height: 246 mm
  • No of Pages: 106
  • Spine Width: 2 mm
  • Weight: 68 gr
  • ISBN-10: 1156428297
  • Publisher Date: 01 Aug 2011
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Sub Title: Decision Problem, AI-Complete, Tutte Polynomial, Permanent Is Sharp-P-Complete, N-Body Problem
  • Width: 189 mm


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