## Combinatorics with emphasis on the theory of graphs |

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### Contents

Chapter I | 1 |

Chapter II | 28 |

IIC Connectedness and Components | 43 |

Copyright | |

18 other sections not shown

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### Common terms and phrases

admits algebra articulation vertex association scheme assume az-paths biconnected bijection bipartite graph block called cardinality Clearly cocycle space color color-perfect complement complete graph component condition connected contains Corollary cycle space define definition denote directed graph disjoint edge set elementary circuit elementary cycle elements equality holds equivalent exactly example exchange system Exercise exists feasible flow follows given Hadamard matrix Hence incidence matrix induction hypothesis integer isolated vertices isomorphic isthmus lattice Lemma m-family matching matroid minimal Mobius function multigraph n-set n(qu nonempty obtain openly-disjoint orthogonal pairwise-disjoint parameters partial geometry partially-ordered set partition path PBIB-design permutation planar graph planar imbedding Proof Proposition Prove respectively result satisfies set system Show spanning subgraph submultigraph subset subspace suppose surjection transversal matroid valence vector space verify vertex cocycle vertex set xu x2 yields