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Description
| - Ryjáček introduced a closure concept for claw-free graphs based on local completion of a locally connected vertex. Connected graphs A, for which the class of (C,A)-free graphs is stable under the closure, were completely characterized. In this paper, we introduce a variation of the closure concept based on local completion of a locally connected edge of a claw-free graph. The closure is uniquely determined and preserves the value of the circumference of a graph. We show that the class of (C,A)-free graphs is stable under the edge-closure if A \in {H,Pi,Ni,j,k}.
- Ryjáček introduced a closure concept for claw-free graphs based on local completion of a locally connected vertex. Connected graphs A, for which the class of (C,A)-free graphs is stable under the closure, were completely characterized. In this paper, we introduce a variation of the closure concept based on local completion of a locally connected edge of a claw-free graph. The closure is uniquely determined and preserves the value of the circumference of a graph. We show that the class of (C,A)-free graphs is stable under the edge-closure if A \in {H,Pi,Ni,j,k}. (en)
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Title
| - The edge-closure concept for claw-free graphs and the stability of forbidden subgraphs
- The edge-closure concept for claw-free graphs and the stability of forbidden subgraphs (en)
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skos:prefLabel
| - The edge-closure concept for claw-free graphs and the stability of forbidden subgraphs
- The edge-closure concept for claw-free graphs and the stability of forbidden subgraphs (en)
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skos:notation
| - RIV/49777513:23520/10:00503513!RIV11-MSM-23520___
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
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http://linked.open...iv/cisloPeriodika
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/49777513:23520/10:00503513
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - Closure concept; Edge-closure concept; Hamiltonicity; Stable property (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...odStatuVydavatele
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http://linked.open...ontrolniKodProRIV
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http://linked.open...i/riv/nazevZdroje
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...vavai/riv/projekt
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http://linked.open...UplatneniVysledku
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http://linked.open...v/svazekPeriodika
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http://linked.open...iv/tvurceVysledku
| - Holub, Přemysl
- Brousek, Jan
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issn
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number of pages
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http://localhost/t...ganizacniJednotka
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