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Sublattices of certain Coxeter lattices

Anne-Marie Bergé, Jacques Martinet (2005)

Journal de Théorie des Nombres de Bordeaux

In this paper, we describe the sublattices of some lattices, extending previous results of [Ber]. Our description makes intensive use of graphs.

The all-paths transit function of a graph

Manoj Changat, Sandi Klavžar, Henry Martyn Mulder (2001)

Czechoslovak Mathematical Journal

A transit function R on a set V is a function R V × V 2 V satisfying the axioms u R ( u , v ) , R ( u , v ) = R ( v , u ) and R ( u , u ) = { u } , for all u , v V . The all-paths transit function of a connected graph is characterized by transit axioms.

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