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Description
  • The shortest cycle cover conjecture of Alon and Tarsi asserts that the edges of every bridgeless graph with m edges can be covered by cycles of total length at most 7m/5 = 1.400m. We show that every cubic bridgeless graph has a cycle cover of total length at most 34m/21, which is about 1.619m, and every bridgeless graph with minimum degree three has a cycle cover of total length at most 44m/27, which is about 1.630m.
  • The shortest cycle cover conjecture of Alon and Tarsi asserts that the edges of every bridgeless graph with m edges can be covered by cycles of total length at most 7m/5 = 1.400m. We show that every cubic bridgeless graph has a cycle cover of total length at most 34m/21, which is about 1.619m, and every bridgeless graph with minimum degree three has a cycle cover of total length at most 44m/27, which is about 1.630m. (en)
Title
  • Short cycle covers of graphs with minimum degree three
  • Short cycle covers of graphs with minimum degree three (en)
skos:prefLabel
  • Short cycle covers of graphs with minimum degree three
  • Short cycle covers of graphs with minimum degree three (en)
skos:notation
  • RIV/49777513:23520/10:00503290!RIV11-GA0-23520___
http://linked.open...avai/riv/aktivita
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  • P(1M0545), P(GA201/09/0197), Z(MSM4977751301)
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  • 1
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  • 287205
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  • RIV/49777513:23520/10:00503290
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  • cycle cover; cycle double cover; shortest cycle cover (en)
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  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [094126E2E9F5]
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  • SIAM Journal of Discrete Mathematics
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  • 24
http://linked.open...iv/tvurceVysledku
  • Kaiser, Tomáš
  • Lidický, Bernard
  • Šámal, Robert
  • Král', Daniel
  • Nejedlý, Pavel
http://linked.open...n/vavai/riv/zamer
issn
  • 0895-4801
number of pages
http://localhost/t...ganizacniJednotka
  • 23520
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