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  • It is easy to show that any digraph with out-degree at most d, diameter k at least 2 and order one or two less than Moore bound must have all vertices of out-degree d. However, establishing the regularity or otherwise of the in-degree of such a digraph is not easy. In this paper we prove that all digraphs of defect two are either diregular or almost diregular. Additionally, in the case of defect one we present a new, simpler and shorter, proof that a digraph of defect one must be diregular, and in the case of defect two and for d = 2 and k at least 3, we present an alternative proof that a digraph of defect two must be diregular.
  • It is easy to show that any digraph with out-degree at most d, diameter k at least 2 and order one or two less than Moore bound must have all vertices of out-degree d. However, establishing the regularity or otherwise of the in-degree of such a digraph is not easy. In this paper we prove that all digraphs of defect two are either diregular or almost diregular. Additionally, in the case of defect one we present a new, simpler and shorter, proof that a digraph of defect one must be diregular, and in the case of defect two and for d = 2 and k at least 3, we present an alternative proof that a digraph of defect two must be diregular. (en)
Title
  • On Diregularity of Digraphs of Defect at Most Two
  • On Diregularity of Digraphs of Defect at Most Two (en)
skos:prefLabel
  • On Diregularity of Digraphs of Defect at Most Two
  • On Diregularity of Digraphs of Defect at Most Two (en)
skos:notation
  • RIV/49777513:23520/09:00503056!RIV10-MSM-23520___
http://linked.open...avai/riv/aktivita
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  • S
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  • 1
http://linked.open...vai/riv/dodaniDat
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  • 331371
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  • RIV/49777513:23520/09:00503056
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  • Moore digraph; Moore bound; defect (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • CA - Kanada
http://linked.open...ontrolniKodProRIV
  • [F1F37778632A]
http://linked.open...i/riv/nazevZdroje
  • Journal of Combinatorial Mathematics and Combinatorial Computing
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http://linked.open...v/svazekPeriodika
  • 71
http://linked.open...iv/tvurceVysledku
  • Miller, Mirka
  • Ryjáček, Zdeněk
  • Iliopoulos, Costas
  • Dafik, D.
issn
  • 0835-3026
number of pages
http://localhost/t...ganizacniJednotka
  • 23520
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