Matches in SemOpenAlex for { <https://semopenalex.org/work/W4299570027> ?p ?o ?g. }
Showing items 1 to 73 of
73
with 100 items per page.
- W4299570027 abstract "We investigate edge-intersection graphs of paths in the plane grid, regarding a parameter called the bend-number. I.e., every vertex is represented by a grid path and two vertices are adjacent if and only if the two grid paths share at least one grid-edge. The bend-number is the minimum $k$ such that grid-paths with at most $k$ bends each suffice to represent a given graph. This parameter is related to the interval-number and the track-number of a graph. We show that for every $k$ there is a graph with bend-number $k$. Moreover we provide new upper and lower bounds of the bend-number of graphs in terms of degeneracy, treewidth, edge clique covers and the maximum degree. Furthermore we give bounds on the bend-number of $K_{m,n}$ and determine it exactly for some pairs of $m$ and $n$. Finally, we prove that recognizing single-bend graphs is NP-complete, providing the first such result in this field." @default.
- W4299570027 created "2022-10-02" @default.
- W4299570027 creator A5057566451 @default.
- W4299570027 creator A5063296115 @default.
- W4299570027 creator A5084853921 @default.
- W4299570027 date "2010-09-15" @default.
- W4299570027 modified "2023-09-30" @default.
- W4299570027 title "Edge-intersection graphs of grid paths: the bend-number" @default.
- W4299570027 doi "https://doi.org/10.48550/arxiv.1009.2861" @default.
- W4299570027 hasPublicationYear "2010" @default.
- W4299570027 type Work @default.
- W4299570027 citedByCount "0" @default.
- W4299570027 crossrefType "posted-content" @default.
- W4299570027 hasAuthorship W4299570027A5057566451 @default.
- W4299570027 hasAuthorship W4299570027A5063296115 @default.
- W4299570027 hasAuthorship W4299570027A5084853921 @default.
- W4299570027 hasBestOaLocation W42995700271 @default.
- W4299570027 hasConcept C102192266 @default.
- W4299570027 hasConcept C114614502 @default.
- W4299570027 hasConcept C118615104 @default.
- W4299570027 hasConcept C132525143 @default.
- W4299570027 hasConcept C132569581 @default.
- W4299570027 hasConcept C134306372 @default.
- W4299570027 hasConcept C160446614 @default.
- W4299570027 hasConcept C186942658 @default.
- W4299570027 hasConcept C187691185 @default.
- W4299570027 hasConcept C203776342 @default.
- W4299570027 hasConcept C2524010 @default.
- W4299570027 hasConcept C2777727622 @default.
- W4299570027 hasConcept C2985491264 @default.
- W4299570027 hasConcept C33923547 @default.
- W4299570027 hasConcept C43517604 @default.
- W4299570027 hasConcept C60644358 @default.
- W4299570027 hasConcept C77553402 @default.
- W4299570027 hasConcept C80899671 @default.
- W4299570027 hasConcept C86803240 @default.
- W4299570027 hasConceptScore W4299570027C102192266 @default.
- W4299570027 hasConceptScore W4299570027C114614502 @default.
- W4299570027 hasConceptScore W4299570027C118615104 @default.
- W4299570027 hasConceptScore W4299570027C132525143 @default.
- W4299570027 hasConceptScore W4299570027C132569581 @default.
- W4299570027 hasConceptScore W4299570027C134306372 @default.
- W4299570027 hasConceptScore W4299570027C160446614 @default.
- W4299570027 hasConceptScore W4299570027C186942658 @default.
- W4299570027 hasConceptScore W4299570027C187691185 @default.
- W4299570027 hasConceptScore W4299570027C203776342 @default.
- W4299570027 hasConceptScore W4299570027C2524010 @default.
- W4299570027 hasConceptScore W4299570027C2777727622 @default.
- W4299570027 hasConceptScore W4299570027C2985491264 @default.
- W4299570027 hasConceptScore W4299570027C33923547 @default.
- W4299570027 hasConceptScore W4299570027C43517604 @default.
- W4299570027 hasConceptScore W4299570027C60644358 @default.
- W4299570027 hasConceptScore W4299570027C77553402 @default.
- W4299570027 hasConceptScore W4299570027C80899671 @default.
- W4299570027 hasConceptScore W4299570027C86803240 @default.
- W4299570027 hasLocation W42995700271 @default.
- W4299570027 hasLocation W42995700272 @default.
- W4299570027 hasLocation W42995700273 @default.
- W4299570027 hasOpenAccess W4299570027 @default.
- W4299570027 hasPrimaryLocation W42995700271 @default.
- W4299570027 hasRelatedWork W2048836150 @default.
- W4299570027 hasRelatedWork W2079220110 @default.
- W4299570027 hasRelatedWork W2139128412 @default.
- W4299570027 hasRelatedWork W2179401580 @default.
- W4299570027 hasRelatedWork W2585060781 @default.
- W4299570027 hasRelatedWork W2607123191 @default.
- W4299570027 hasRelatedWork W3003390052 @default.
- W4299570027 hasRelatedWork W3135732667 @default.
- W4299570027 hasRelatedWork W3163002073 @default.
- W4299570027 hasRelatedWork W4312121942 @default.
- W4299570027 isParatext "false" @default.
- W4299570027 isRetracted "false" @default.
- W4299570027 workType "article" @default.