Matches in SemOpenAlex for { <https://semopenalex.org/work/W4299608300> ?p ?o ?g. }
Showing items 1 to 61 of
61
with 100 items per page.
- W4299608300 abstract "We investigate the minimum line-distortion and the minimum bandwidth problems on unweighted graphs and their relations with the minimum length of a Robertson-Seymour's path-decomposition. The length of a path-decomposition of a graph is the largest diameter of a bag in the decomposition. The path-length of a graph is the minimum length over all its path-decompositions. In particular, we show: - if a graph $G$ can be embedded into the line with distortion $k$, then $G$ admits a Robertson-Seymour's path-decomposition with bags of diameter at most $k$ in $G$; - for every class of graphs with path-length bounded by a constant, there exist an efficient constant-factor approximation algorithm for the minimum line-distortion problem and an efficient constant-factor approximation algorithm for the minimum bandwidth problem; - there is an efficient 2-approximation algorithm for computing the path-length of an arbitrary graph; - AT-free graphs and some intersection families of graphs have path-length at most 2; - for AT-free graphs, there exist a linear time 8-approximation algorithm for the minimum line-distortion problem and a linear time 4-approximation algorithm for the minimum bandwidth problem." @default.
- W4299608300 created "2022-10-02" @default.
- W4299608300 creator A5005537951 @default.
- W4299608300 creator A5074168009 @default.
- W4299608300 creator A5086851146 @default.
- W4299608300 date "2014-09-30" @default.
- W4299608300 modified "2023-10-15" @default.
- W4299608300 title "Line-distortion, Bandwidth and Path-length of a graph" @default.
- W4299608300 doi "https://doi.org/10.48550/arxiv.1409.8389" @default.
- W4299608300 hasPublicationYear "2014" @default.
- W4299608300 type Work @default.
- W4299608300 citedByCount "0" @default.
- W4299608300 crossrefType "posted-content" @default.
- W4299608300 hasAuthorship W4299608300A5005537951 @default.
- W4299608300 hasAuthorship W4299608300A5074168009 @default.
- W4299608300 hasAuthorship W4299608300A5086851146 @default.
- W4299608300 hasBestOaLocation W42996083001 @default.
- W4299608300 hasConcept C114614502 @default.
- W4299608300 hasConcept C118615104 @default.
- W4299608300 hasConcept C129045301 @default.
- W4299608300 hasConcept C132525143 @default.
- W4299608300 hasConcept C1465435 @default.
- W4299608300 hasConcept C148764684 @default.
- W4299608300 hasConcept C160446614 @default.
- W4299608300 hasConcept C199360897 @default.
- W4299608300 hasConcept C2777735758 @default.
- W4299608300 hasConcept C31258907 @default.
- W4299608300 hasConcept C33923547 @default.
- W4299608300 hasConcept C41008148 @default.
- W4299608300 hasConcept C83677490 @default.
- W4299608300 hasConceptScore W4299608300C114614502 @default.
- W4299608300 hasConceptScore W4299608300C118615104 @default.
- W4299608300 hasConceptScore W4299608300C129045301 @default.
- W4299608300 hasConceptScore W4299608300C132525143 @default.
- W4299608300 hasConceptScore W4299608300C1465435 @default.
- W4299608300 hasConceptScore W4299608300C148764684 @default.
- W4299608300 hasConceptScore W4299608300C160446614 @default.
- W4299608300 hasConceptScore W4299608300C199360897 @default.
- W4299608300 hasConceptScore W4299608300C2777735758 @default.
- W4299608300 hasConceptScore W4299608300C31258907 @default.
- W4299608300 hasConceptScore W4299608300C33923547 @default.
- W4299608300 hasConceptScore W4299608300C41008148 @default.
- W4299608300 hasConceptScore W4299608300C83677490 @default.
- W4299608300 hasLocation W42996083001 @default.
- W4299608300 hasLocation W42996083002 @default.
- W4299608300 hasLocation W42996083003 @default.
- W4299608300 hasOpenAccess W4299608300 @default.
- W4299608300 hasPrimaryLocation W42996083001 @default.
- W4299608300 hasRelatedWork W1995629993 @default.
- W4299608300 hasRelatedWork W2009808060 @default.
- W4299608300 hasRelatedWork W2009843927 @default.
- W4299608300 hasRelatedWork W2093961518 @default.
- W4299608300 hasRelatedWork W2101572961 @default.
- W4299608300 hasRelatedWork W2129550502 @default.
- W4299608300 hasRelatedWork W2129816636 @default.
- W4299608300 hasRelatedWork W2132921321 @default.
- W4299608300 hasRelatedWork W2776102956 @default.
- W4299608300 hasRelatedWork W4304192587 @default.
- W4299608300 isParatext "false" @default.
- W4299608300 isRetracted "false" @default.
- W4299608300 workType "article" @default.