## Congressus Numerantium, Volume 192 |

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### Contents

NeighboodRainbow Colorings of Graphs by Futaba Okamoto | 5 |

Matrices of Row and Column Sum 2 by Neil J Calkin | 19 |

Proof of the Symmetric Form | 33 |

Copyright | |

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### Common terms and phrases

2-matching adjacent algorithm attack graph B(Tj Balanced Ternary best monotone block bound for a(G bound function Combinatorial connected graph consider correlation agent defined degree sequence denoted Department of Mathematics diagonal diam(G directed arcs directed graph Discrete Mathematics disjoint paths edges elements entries example exists Figure formula graph G graph of order Graph Theory implies independent set induced 6-cycle induced path integer interval digraph Latin squares Lemma Let G lexicographical order logb logb lower bound function mated pairs matrix minimum monadic neighboring clique node Nova graph number of spanning packed preference matrices Proposition query quickgate rainbow chromatic number rainbow coloring result Riordan row and column small degree neighbour spanning trees split graph star graph Stieltjes matrix structure subgraph subqueries subset substars Sudoku Sudoku graphs Sudoku puzzles symbols Taksa Theorem 3.2 transitive tournaments transpositions unoriented increasing trees vertex degrees vertices Waerden weakly optimal Xfl(G Xr(G zero partition