Matches in SemOpenAlex for { <https://semopenalex.org/work/W2893779750> ?p ?o ?g. }
Showing items 1 to 80 of
80
with 100 items per page.
- W2893779750 abstract "Let $T$ be a tree such that all its vertices of degree more than two lie on one path, that is, $T$ is a caterpillar subdivision. We prove that there exists $epsilon>0$ such that for every graph $G$ with $|V(G)|ge 2$ not containing $T$ as an induced subgraph, either some vertex has at least $epsilon|V(G)|$ neighbours, or there are two disjoint sets of vertices $A,B$, both of cardinality at least $epsilon|V(G)|$, where there is no edge joining $A$ and $B$. A consequence is: for every caterpillar subdivision $T$, there exists $c>0$ such that for every graph $G$ containing neither of $T$ and its complement as an induced subgraph, $G$ has a clique or stable set with at least $|V(G)|^c$ vertices. This extends a theorem of Bousquet, Lagoutte and Thomasse [JCTB 2015], who proved the same when $T$ is a path, and a recent theorem of Choromanski, Falik, Liebenau, Patel and Pilipczuk [Electron. J. Combin. 2018], who proved it when $T$ is a hook." @default.
- W2893779750 created "2018-10-05" @default.
- W2893779750 creator A5003940613 @default.
- W2893779750 creator A5031948088 @default.
- W2893779750 creator A5059330513 @default.
- W2893779750 creator A5081415370 @default.
- W2893779750 date "2018-10-01" @default.
- W2893779750 modified "2023-09-23" @default.
- W2893779750 title "Caterpillars in ErdH{o}s-Hajnal" @default.
- W2893779750 cites W2007044730 @default.
- W2893779750 cites W2728331574 @default.
- W2893779750 cites W2765738685 @default.
- W2893779750 hasPublicationYear "2018" @default.
- W2893779750 type Work @default.
- W2893779750 sameAs 2893779750 @default.
- W2893779750 citedByCount "3" @default.
- W2893779750 countsByYear W28937797502018 @default.
- W2893779750 countsByYear W28937797502021 @default.
- W2893779750 crossrefType "posted-content" @default.
- W2893779750 hasAuthorship W2893779750A5003940613 @default.
- W2893779750 hasAuthorship W2893779750A5031948088 @default.
- W2893779750 hasAuthorship W2893779750A5059330513 @default.
- W2893779750 hasAuthorship W2893779750A5081415370 @default.
- W2893779750 hasConcept C114614502 @default.
- W2893779750 hasConcept C118615104 @default.
- W2893779750 hasConcept C124101348 @default.
- W2893779750 hasConcept C132525143 @default.
- W2893779750 hasConcept C149530733 @default.
- W2893779750 hasConcept C199360897 @default.
- W2893779750 hasConcept C203776342 @default.
- W2893779750 hasConcept C2777735758 @default.
- W2893779750 hasConcept C2778012994 @default.
- W2893779750 hasConcept C33923547 @default.
- W2893779750 hasConcept C41008148 @default.
- W2893779750 hasConcept C45340560 @default.
- W2893779750 hasConcept C58228413 @default.
- W2893779750 hasConcept C80899671 @default.
- W2893779750 hasConcept C87117476 @default.
- W2893779750 hasConceptScore W2893779750C114614502 @default.
- W2893779750 hasConceptScore W2893779750C118615104 @default.
- W2893779750 hasConceptScore W2893779750C124101348 @default.
- W2893779750 hasConceptScore W2893779750C132525143 @default.
- W2893779750 hasConceptScore W2893779750C149530733 @default.
- W2893779750 hasConceptScore W2893779750C199360897 @default.
- W2893779750 hasConceptScore W2893779750C203776342 @default.
- W2893779750 hasConceptScore W2893779750C2777735758 @default.
- W2893779750 hasConceptScore W2893779750C2778012994 @default.
- W2893779750 hasConceptScore W2893779750C33923547 @default.
- W2893779750 hasConceptScore W2893779750C41008148 @default.
- W2893779750 hasConceptScore W2893779750C45340560 @default.
- W2893779750 hasConceptScore W2893779750C58228413 @default.
- W2893779750 hasConceptScore W2893779750C80899671 @default.
- W2893779750 hasConceptScore W2893779750C87117476 @default.
- W2893779750 hasLocation W28937797501 @default.
- W2893779750 hasOpenAccess W2893779750 @default.
- W2893779750 hasPrimaryLocation W28937797501 @default.
- W2893779750 hasRelatedWork W13215918 @default.
- W2893779750 hasRelatedWork W2014038864 @default.
- W2893779750 hasRelatedWork W2078604563 @default.
- W2893779750 hasRelatedWork W2093711979 @default.
- W2893779750 hasRelatedWork W2283699892 @default.
- W2893779750 hasRelatedWork W2518244851 @default.
- W2893779750 hasRelatedWork W2737740861 @default.
- W2893779750 hasRelatedWork W2741443604 @default.
- W2893779750 hasRelatedWork W2893140165 @default.
- W2893779750 hasRelatedWork W2953352215 @default.
- W2893779750 hasRelatedWork W2965924959 @default.
- W2893779750 hasRelatedWork W2985045181 @default.
- W2893779750 hasRelatedWork W2987408989 @default.
- W2893779750 hasRelatedWork W3082032630 @default.
- W2893779750 hasRelatedWork W3087622144 @default.
- W2893779750 hasRelatedWork W3109059064 @default.
- W2893779750 hasRelatedWork W3121966787 @default.
- W2893779750 hasRelatedWork W3147742387 @default.
- W2893779750 hasRelatedWork W3209002032 @default.
- W2893779750 hasRelatedWork W2560130081 @default.
- W2893779750 isParatext "false" @default.
- W2893779750 isRetracted "false" @default.
- W2893779750 magId "2893779750" @default.
- W2893779750 workType "article" @default.