## Congressus Numerantium, Volume 165 |

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7 pages matching **domination number** in this book

#### Page 224

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### Contents

A Generalization of the Catalan Numbers by Peter Hilton and Jean Pedersen | 5 |

The Catalan Numbers ReVisit the World Series by Peter J Larcombe | 19 |

Proof and generalization of a Catalan number formula of Larcombe | 33 |

Copyright | |

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### Common terms and phrases

ab/g abelian group adjacent algorithm B-arrays border edges Catalan numbers Cayley digraph combinatorial complete graphs Congressus Numerantium conjecture connected graph contains count the number cubic graph cyclic ordering DB-graph defined denote Department of Mathematics dihedral group disjoint path systems domination number double bound graph edge-graceful edge-magic edges of odd endpoint equation example fc-trees Figure Fn(x formula function graph G graph of order grid graph h+(G Hamilton cycle Hamilton path Hamiltonian number Hamiltonian walk Hankel matrix identity independence polynomial integers Kloosterman sums Kn x Km labeling laminating arc lattice points Lemma Let G lower bound Math minimal generating set Motzkin Path Systems Notation nSEVG number of nodes number of paths obtain p-good path in Cay(G permutation poset Proof queries sequence SEVG SLLN star graph subgraph Theorem 2.2 torus total chromatic total chromatic number total coloring total number unimodal vertex vertices Visibility Graphs w-cycles well-covered graph