On the structure of the adjacency matrix of the line digraph of a regular digraph

dc.creatorSeverini, Simone
dc.date2003-09-05
dc.date2006-07-15
dc.date.accessioned2026-07-07T06:35:42Z
dc.date.available2026-07-07T06:35:42Z
dc.descriptionWe show that the adjacency matrix M of the line digraph of a d-regular digraph D on n vertices can be written as M=AB, where the matrix A is the Kronecker product of the all-ones matrix of dimension d with the identity matrix of dimension n and the matrix B is the direct sum of the adjacency matrices of the factors in a dicycle factorization of D.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/math/0309092
dc.identifierhttp://arxiv.org/abs/math/0309092
dc.identifierDiscrete Applied Mathematics, Volume 154, Issue 12, 15 July 2006, Pages 1763-1765
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99873
dc.subjectCombinatorics
dc.titleOn the structure of the adjacency matrix of the line digraph of a regular digraph
dc.typetext

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