About: {4,5} Is Not Coverable: A Counterexample to a Conjecture of Kaiser and Škrekovski     Goto   Sponge   NotDistinct   Permalink

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  • For a subset A of the set of positive integers, a graph G is called A-coverable if G has a cycle (a subgraph in which all vertices have even degree) which intersects all edge-cuts T in G with |T| is in A, and A is said to be coverable if all graphs are A-coverable. As a possible approach to the dominating cycle conjecture, Kaiser and Škrekovski conjectured that N+3 is coverable, where N+3 = {4,5,6,...}. In this paper, we disprove Kaiser and Škrekovski's conjecture by showing that there exist infinitely many graphs which are not {4,5}-coverable. Read More: http://epubs.siam.org/doi/abs/10.1137/120877817
  • For a subset A of the set of positive integers, a graph G is called A-coverable if G has a cycle (a subgraph in which all vertices have even degree) which intersects all edge-cuts T in G with |T| is in A, and A is said to be coverable if all graphs are A-coverable. As a possible approach to the dominating cycle conjecture, Kaiser and Škrekovski conjectured that N+3 is coverable, where N+3 = {4,5,6,...}. In this paper, we disprove Kaiser and Škrekovski's conjecture by showing that there exist infinitely many graphs which are not {4,5}-coverable. Read More: http://epubs.siam.org/doi/abs/10.1137/120877817 (en)
Title
  • {4,5} Is Not Coverable: A Counterexample to a Conjecture of Kaiser and Škrekovski
  • {4,5} Is Not Coverable: A Counterexample to a Conjecture of Kaiser and Škrekovski (en)
skos:prefLabel
  • {4,5} Is Not Coverable: A Counterexample to a Conjecture of Kaiser and Škrekovski
  • {4,5} Is Not Coverable: A Counterexample to a Conjecture of Kaiser and Škrekovski (en)
skos:notation
  • RIV/49777513:23520/13:43919734!RIV14-GA0-23520___
http://linked.open...avai/riv/aktivita
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  • P(GBP202/12/G061)
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  • 119880
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  • RIV/49777513:23520/13:43919734
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  • 2-factors; dominating cycle conjecture; coverable; edge-cuts; circuits; cycles (en)
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  • US - Spojené státy americké
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  • 27
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  • Vrána, Petr
  • Čada, Roman
  • Chiba, Shuya
  • Ozeki, Kenta
  • Yoshimoto, Kiyoshi
http://linked.open...ain/vavai/riv/wos
  • 000316868600009
issn
  • 0895-4801
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  • 10.1137/120877817
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  • 23520
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