Matches in SemOpenAlex for { <https://semopenalex.org/work/W2952316087> ?p ?o ?g. }
Showing items 1 to 69 of
69
with 100 items per page.
- W2952316087 abstract "A graph $G$ is said to have textit{bandwidth} at most $b$, if there exists a labeling of the vertices by $1,2,..., n$, so that $|i - j| leq b$ whenever ${i,j}$ is an edge of $G$. Recently, B{o}ttcher, Schacht, and Taraz verified a conjecture of Bollob'{a}s and Koml'{o}s which says that for every positive $r,Delta,gamma$, there exists $beta$ such that if $H$ is an $n$-vertex $r$-chromatic graph with maximum degree at most $Delta$ which has bandwidth at most $beta n$, then any graph $G$ on $n$ vertices with minimum degree at least $(1 - 1/r + gamma)n$ contains a copy of $H$ for large enough $n$. In this paper, we extend this theorem to dense random graphs. For bipartite $H$, this answers an open question of B{o}ttcher, Kohayakawa, and Taraz. It appears that for non-bipartite $H$ the direct extension is not possible, and one needs in addition that some vertices of $H$ have independent neighborhoods. We also obtain an asymptotically tight bound for the maximum number of vertex disjoint copies of a fixed $r$-chromatic graph $H_0$ which one can find in a spanning subgraph of $G(n,p)$ with minimum degree $(1-1/r + gamma)np$." @default.
- W2952316087 created "2019-06-27" @default.
- W2952316087 creator A5022514157 @default.
- W2952316087 creator A5041400284 @default.
- W2952316087 creator A5066741544 @default.
- W2952316087 date "2010-05-11" @default.
- W2952316087 modified "2023-09-27" @default.
- W2952316087 title "Bandwidth theorem for random graphs" @default.
- W2952316087 cites W1551595104 @default.
- W2952316087 cites W1910739950 @default.
- W2952316087 cites W1957375148 @default.
- W2952316087 cites W1976052016 @default.
- W2952316087 cites W1991646384 @default.
- W2952316087 cites W2005223884 @default.
- W2952316087 cites W2012853908 @default.
- W2952316087 cites W2014564484 @default.
- W2952316087 cites W2016267660 @default.
- W2952316087 cites W2017776863 @default.
- W2952316087 cites W2030651378 @default.
- W2952316087 cites W2045530818 @default.
- W2952316087 cites W2054249991 @default.
- W2952316087 cites W2083035128 @default.
- W2952316087 cites W2111007781 @default.
- W2952316087 cites W2131867452 @default.
- W2952316087 cites W2166751465 @default.
- W2952316087 cites W2951126587 @default.
- W2952316087 doi "https://doi.org/10.48550/arxiv.1005.1947" @default.
- W2952316087 hasPublicationYear "2010" @default.
- W2952316087 type Work @default.
- W2952316087 sameAs 2952316087 @default.
- W2952316087 citedByCount "0" @default.
- W2952316087 crossrefType "posted-content" @default.
- W2952316087 hasAuthorship W2952316087A5022514157 @default.
- W2952316087 hasAuthorship W2952316087A5041400284 @default.
- W2952316087 hasAuthorship W2952316087A5066741544 @default.
- W2952316087 hasBestOaLocation W29523160871 @default.
- W2952316087 hasConcept C114614502 @default.
- W2952316087 hasConcept C118615104 @default.
- W2952316087 hasConcept C132525143 @default.
- W2952316087 hasConcept C197657726 @default.
- W2952316087 hasConcept C2780990831 @default.
- W2952316087 hasConcept C33923547 @default.
- W2952316087 hasConcept C45340560 @default.
- W2952316087 hasConcept C80899671 @default.
- W2952316087 hasConceptScore W2952316087C114614502 @default.
- W2952316087 hasConceptScore W2952316087C118615104 @default.
- W2952316087 hasConceptScore W2952316087C132525143 @default.
- W2952316087 hasConceptScore W2952316087C197657726 @default.
- W2952316087 hasConceptScore W2952316087C2780990831 @default.
- W2952316087 hasConceptScore W2952316087C33923547 @default.
- W2952316087 hasConceptScore W2952316087C45340560 @default.
- W2952316087 hasConceptScore W2952316087C80899671 @default.
- W2952316087 hasLocation W29523160871 @default.
- W2952316087 hasOpenAccess W2952316087 @default.
- W2952316087 hasPrimaryLocation W29523160871 @default.
- W2952316087 hasRelatedWork W2062574277 @default.
- W2952316087 hasRelatedWork W2535689316 @default.
- W2952316087 hasRelatedWork W2587433615 @default.
- W2952316087 hasRelatedWork W2770134917 @default.
- W2952316087 hasRelatedWork W2990042548 @default.
- W2952316087 hasRelatedWork W3049229033 @default.
- W2952316087 hasRelatedWork W3117337202 @default.
- W2952316087 hasRelatedWork W3138733227 @default.
- W2952316087 hasRelatedWork W4285056899 @default.
- W2952316087 hasRelatedWork W755952011 @default.
- W2952316087 isParatext "false" @default.
- W2952316087 isRetracted "false" @default.
- W2952316087 magId "2952316087" @default.
- W2952316087 workType "article" @default.