Applied Combinatorics |
Contents
ONE PRELIMINARIES | 1 |
TWO GENERAL COUNTING METHODS FOR ARRANGEMENTS | 20 |
THREE GENERATING FUNCTIONS | 76 |
Copyright | |
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2-colorings a-z cut a-z flow a₁ adjacent arrangements balls biconnected components binomial binomial coefficients bipartite graph coefficient color column combinatorial corners CRUZ The University cube darkened squares digits directed graph distinct objects distribute edges equation equivalent Euler circuit Example Exercise exponential generating function Find a recurrence formula four graph coloring graph G graph in Figure graph theory Grundy number Hamiltonian circuit induction integer integer solutions isomorphic kernel labeled least letters lexicographic order matching mathematical mathematical induction matrix maximal flow minimal n-digit number of different obtain pair partitions pattern inventory permutation pick pile planar graph player polynomial position possible Prim's algorithm probability proof Prove recurrence relation S₁ secret code Section shortest path Show shown in Figure solve spanning tree subset Suppose symmetries Theorem tour triangle undirected University Library UNIVERSITY unoriented vertex vertices of degree