## Applications of Graph Theory to Group Structure |

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### Contents

The Problem | 89 |

Degree of Unbalance of a Graph | 98 |

Balancing Process | 107 |

2 other sections not shown

### Common terms and phrases

algorithm analysis arborescence articulation point balanced graph balancing process base with axis belong Cartesian product cells centralized change the sign Chap clique complete algebraic graph consider constitute corresponding cost cycles deﬁned deﬁnition degree of unbalance denoted e(xx e(xy e(xz elements equal equivalence class equivalence relation example Figure ﬁnally ﬁnd ﬁrst Flament function graph G graph of Fig Graph Theory Hamiltonian paths Harary hence homogeneous model hypotheses lattice Luce mathematical minimum balancing sets multi-graph n-points graphs negative edges negative triangles normative inﬂuence notion number of arcs obtained optimal organization pair partial graph path Y(xy positive possible problem Proof properties Psychol reﬂexivity represented secondary information Shaw stochastic matrix strongly connected strongly connected component subgraph subset suﬂicient symmetric difference symmetric graph Table task task model Theorem theory of graphs tion track 6(xy u-equivalent unique valuation valued graph