Matches in SemOpenAlex for { <https://semopenalex.org/work/W4225564689> ?p ?o ?g. }
Showing items 1 to 70 of
70
with 100 items per page.
- W4225564689 abstract "The diameter of an undirected or a directed graph is defined to be the maximum shortest path distance over all pairs of vertices in the graph. Given an undirected graph $G$, we examine the problem of assigning directions to each edge of $G$ such that the diameter of the resulting oriented graph is minimized. The minimum diameter over all strongly connected orientations is called the oriented diameter of $G$. The problem of determining the oriented diameter of a graph is known to be NP-hard, but the time-complexity question is open for planar graphs. In this paper we compute the exact value of the oriented diameter for triangular grid graphs. We then prove an $n/3$ lower bound and an $n/2+O(sqrt{n})$ upper bound on the oriented diameter of planar triangulations. It is known that given a planar graph $G$ with bounded treewidth and a fixed positive integer $k$, one can determine in linear time whether the oriented diameter of $G$ is at most $k$. In contrast, we consider a weighted version of the oriented diameter problem and show it to be is weakly NP-complete for planar graphs with bounded pathwidth." @default.
- W4225564689 created "2022-05-05" @default.
- W4225564689 creator A5015544517 @default.
- W4225564689 creator A5063437612 @default.
- W4225564689 creator A5078508511 @default.
- W4225564689 date "2022-03-08" @default.
- W4225564689 modified "2023-09-27" @default.
- W4225564689 title "Oriented Diameter of Planar Triangulations" @default.
- W4225564689 doi "https://doi.org/10.48550/arxiv.2203.04253" @default.
- W4225564689 hasPublicationYear "2022" @default.
- W4225564689 type Work @default.
- W4225564689 citedByCount "1" @default.
- W4225564689 countsByYear W42255646892022 @default.
- W4225564689 crossrefType "posted-content" @default.
- W4225564689 hasAuthorship W4225564689A5015544517 @default.
- W4225564689 hasAuthorship W4225564689A5063437612 @default.
- W4225564689 hasAuthorship W4225564689A5078508511 @default.
- W4225564689 hasBestOaLocation W42255646891 @default.
- W4225564689 hasConcept C101837359 @default.
- W4225564689 hasConcept C102192266 @default.
- W4225564689 hasConcept C114614502 @default.
- W4225564689 hasConcept C118615104 @default.
- W4225564689 hasConcept C121684516 @default.
- W4225564689 hasConcept C125792925 @default.
- W4225564689 hasConcept C132525143 @default.
- W4225564689 hasConcept C132569581 @default.
- W4225564689 hasConcept C134306372 @default.
- W4225564689 hasConcept C134786449 @default.
- W4225564689 hasConcept C160446614 @default.
- W4225564689 hasConcept C180222743 @default.
- W4225564689 hasConcept C203776342 @default.
- W4225564689 hasConcept C33923547 @default.
- W4225564689 hasConcept C34388435 @default.
- W4225564689 hasConcept C41008148 @default.
- W4225564689 hasConcept C43517604 @default.
- W4225564689 hasConcept C77553402 @default.
- W4225564689 hasConceptScore W4225564689C101837359 @default.
- W4225564689 hasConceptScore W4225564689C102192266 @default.
- W4225564689 hasConceptScore W4225564689C114614502 @default.
- W4225564689 hasConceptScore W4225564689C118615104 @default.
- W4225564689 hasConceptScore W4225564689C121684516 @default.
- W4225564689 hasConceptScore W4225564689C125792925 @default.
- W4225564689 hasConceptScore W4225564689C132525143 @default.
- W4225564689 hasConceptScore W4225564689C132569581 @default.
- W4225564689 hasConceptScore W4225564689C134306372 @default.
- W4225564689 hasConceptScore W4225564689C134786449 @default.
- W4225564689 hasConceptScore W4225564689C160446614 @default.
- W4225564689 hasConceptScore W4225564689C180222743 @default.
- W4225564689 hasConceptScore W4225564689C203776342 @default.
- W4225564689 hasConceptScore W4225564689C33923547 @default.
- W4225564689 hasConceptScore W4225564689C34388435 @default.
- W4225564689 hasConceptScore W4225564689C41008148 @default.
- W4225564689 hasConceptScore W4225564689C43517604 @default.
- W4225564689 hasConceptScore W4225564689C77553402 @default.
- W4225564689 hasLocation W42255646891 @default.
- W4225564689 hasOpenAccess W4225564689 @default.
- W4225564689 hasPrimaryLocation W42255646891 @default.
- W4225564689 hasRelatedWork W2099750557 @default.
- W4225564689 hasRelatedWork W2133160845 @default.
- W4225564689 hasRelatedWork W2801149745 @default.
- W4225564689 hasRelatedWork W2950027724 @default.
- W4225564689 hasRelatedWork W2958387550 @default.
- W4225564689 hasRelatedWork W3046954261 @default.
- W4225564689 hasRelatedWork W3101895193 @default.
- W4225564689 hasRelatedWork W3168322841 @default.
- W4225564689 hasRelatedWork W4226332047 @default.
- W4225564689 hasRelatedWork W4298164694 @default.
- W4225564689 isParatext "false" @default.
- W4225564689 isRetracted "false" @default.
- W4225564689 workType "article" @default.