Home > General > Parametric Families of Graphs: Complete Graph, Rook's Graph, Fibonacci Cube, Paley Graph, Mobius Ladder, Turan Graph, Crown Graph
Parametric Families of Graphs: Complete Graph, Rook's Graph, Fibonacci Cube, Paley Graph, Mobius Ladder, Turan Graph, Crown Graph

Parametric Families of Graphs: Complete Graph, Rook's Graph, Fibonacci Cube, Paley Graph, Mobius Ladder, Turan Graph, Crown Graph

          
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About the Book

PMChapters: Complete Graph, Rook's Graph, Fibonacci Cube, Paley Graph, Mobius Ladder, Turan Graph, Crown Graph, Hypercube Graph, Kneser Graph, de Bruijn Graph, Complete Bipartite Graph, Star, Cube-Connected Cycles, Wheel Graph, Cycle Graph, Friendship Graph, Flower Snark, Windmill Graph, Odd Graph, Kautz Graph, Ladder Graph, Knight's Graph, Book, King's Graph, Hamming Graph, Path Graph, Dipole Graph, Cocktail Party Graph. Source: Wikipedia. Pages: 102. Not illustrated. Free updates online. Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Excerpt: In graph theory, a rook's graph is a graph that represents all legal moves of the rook chess piece on a chessboard: each vertex represents a square on a chessboard and each edge represents a legal move. Rook's graphs are highly symmetric perfect graphs; they may be characterized in terms of the number of triangles each edge belongs to and by the existence of a 4-cycle connecting each nonadjacent pair of vertices. An nxm rook's graph represents the moves of a rook on an nxm chessboard. Its vertices may be given coordinates (x,y), where 1 x n and 1 y m. Two vertices (x1,y1) and (x2,y2) are connected by an edge if and only if either x1 = x2 or y1 = y2; that is, if they belong to the same rank or the same file of the chessboard. For an nxm rook's graph the total number of vertices is simply nm. For an nxn rook's graph the total number of vertices is simply and the total number of edges is ; in this case the graph is also known as a two-dimensional Hamming graph or a Latin square graph. The rook's graph for an nxm chessboard may also be defined as the Cartesian product of two complete graphs Kn Km. Rook's graphs are vertex-transitive and (n + m 2)-regular; they are the only regular graphs formed from the moves of standard chess pieces in this way (Elkies). When m n, the symmetries of the rook's graph are f...http://booksllc.net/?id=73249


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Product Details
  • ISBN-13: 9781155640129
  • Publisher: Books LLC
  • Publisher Imprint: Books LLC
  • Height: 152 mm
  • No of Pages: 104
  • Series Title: English
  • Weight: 163 gr
  • ISBN-10: 1155640128
  • Publisher Date: 14 Oct 2010
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Spine Width: 6 mm
  • Width: 229 mm

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