On relations between connected and self-avoiding walks on a graph
نویسندگان
چکیده
The characterization of a graph via the variable adjacency matrix enables to de ne a partially ordered relation on the walks. Studying the incidence algebra on this poset reveals unsuspected relations between connected and self-avoiding walks on the graph. These relations are derived by considering truncated versions of the characteristic polynomial of variable adjacency matrix, resulting in a collection of matrices whose entries enumerate the self-avoiding walks of length ` from one vertex to another.
منابع مشابه
Relations between connected and self-avoiding walks in a digraph
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