Matches in SemOpenAlex for { <https://semopenalex.org/work/W2232150403> ?p ?o ?g. }
Showing items 1 to 93 of
93
with 100 items per page.
- W2232150403 abstract "We here investigate on the complexity of computing the tree-length and the tree-breadth of any graph G, that are respectively the best possible upper-bounds on the diameter and the radius of the bags in a tree decomposition of G. Path-length and path-breadth are similarly defined and studied for path decompositions. So far, it was already known that tree-length is NP-hard to compute. We here prove it is also the case for tree-breadth, path-length and path-breadth. Furthermore, we provide a more detailed analysis on the complexity of computing the tree-breadth. In particular, we show that graphs with tree-breadth one are in some sense the hardest instances for the problem of computing the tree-breadth. We give new properties of graphs with tree-breadth one. Then we use these properties in order to recognize in polynomial-time all graphs with tree-breadth one that are planar or bipartite graphs. On the way, we relate tree-breadth with the notion of k-good tree decompositions (for k = 1), that have been introduced in former work for routing. As a byproduct of the above relation, we prove that deciding on the existence of a k-good tree decomposition is NP-complete (even if k = 1). All this answers open questions from the literature." @default.
- W2232150403 created "2016-06-24" @default.
- W2232150403 creator A5016218998 @default.
- W2232150403 creator A5020003818 @default.
- W2232150403 creator A5057804168 @default.
- W2232150403 date "2016-01-01" @default.
- W2232150403 modified "2023-10-06" @default.
- W2232150403 title "On computing tree and path decompositions with metric constraints on the bags" @default.
- W2232150403 cites W1483788020 @default.
- W2232150403 cites W1530239281 @default.
- W2232150403 cites W1539574100 @default.
- W2232150403 cites W1726008105 @default.
- W2232150403 cites W1935074713 @default.
- W2232150403 cites W1964678328 @default.
- W2232150403 cites W1969474097 @default.
- W2232150403 cites W1973310391 @default.
- W2232150403 cites W1975003797 @default.
- W2232150403 cites W1978452004 @default.
- W2232150403 cites W1980831620 @default.
- W2232150403 cites W1995114081 @default.
- W2232150403 cites W2001141328 @default.
- W2232150403 cites W2010030994 @default.
- W2232150403 cites W2012939398 @default.
- W2232150403 cites W2015077309 @default.
- W2232150403 cites W2017848317 @default.
- W2232150403 cites W2022783258 @default.
- W2232150403 cites W2022822152 @default.
- W2232150403 cites W2029095423 @default.
- W2232150403 cites W2029448190 @default.
- W2232150403 cites W2041356670 @default.
- W2232150403 cites W2059372025 @default.
- W2232150403 cites W2072082202 @default.
- W2232150403 cites W2080468874 @default.
- W2232150403 cites W2087083200 @default.
- W2232150403 cites W2093962232 @default.
- W2232150403 cites W2095075515 @default.
- W2232150403 cites W2096141080 @default.
- W2232150403 cites W2099750557 @default.
- W2232150403 cites W2126464568 @default.
- W2232150403 cites W2134766004 @default.
- W2232150403 cites W2250978763 @default.
- W2232150403 cites W2400528205 @default.
- W2232150403 cites W2738934863 @default.
- W2232150403 cites W2913688336 @default.
- W2232150403 cites W2914617426 @default.
- W2232150403 cites W42296696 @default.
- W2232150403 hasPublicationYear "2016" @default.
- W2232150403 type Work @default.
- W2232150403 sameAs 2232150403 @default.
- W2232150403 citedByCount "0" @default.
- W2232150403 crossrefType "report" @default.
- W2232150403 hasAuthorship W2232150403A5016218998 @default.
- W2232150403 hasAuthorship W2232150403A5020003818 @default.
- W2232150403 hasAuthorship W2232150403A5057804168 @default.
- W2232150403 hasBestOaLocation W22321504031 @default.
- W2232150403 hasConcept C113174947 @default.
- W2232150403 hasConcept C114614502 @default.
- W2232150403 hasConcept C127413603 @default.
- W2232150403 hasConcept C176217482 @default.
- W2232150403 hasConcept C199360897 @default.
- W2232150403 hasConcept C21547014 @default.
- W2232150403 hasConcept C2777735758 @default.
- W2232150403 hasConcept C33923547 @default.
- W2232150403 hasConcept C41008148 @default.
- W2232150403 hasConcept C80444323 @default.
- W2232150403 hasConceptScore W2232150403C113174947 @default.
- W2232150403 hasConceptScore W2232150403C114614502 @default.
- W2232150403 hasConceptScore W2232150403C127413603 @default.
- W2232150403 hasConceptScore W2232150403C176217482 @default.
- W2232150403 hasConceptScore W2232150403C199360897 @default.
- W2232150403 hasConceptScore W2232150403C21547014 @default.
- W2232150403 hasConceptScore W2232150403C2777735758 @default.
- W2232150403 hasConceptScore W2232150403C33923547 @default.
- W2232150403 hasConceptScore W2232150403C41008148 @default.
- W2232150403 hasConceptScore W2232150403C80444323 @default.
- W2232150403 hasLocation W22321504031 @default.
- W2232150403 hasLocation W22321504032 @default.
- W2232150403 hasOpenAccess W2232150403 @default.
- W2232150403 hasPrimaryLocation W22321504031 @default.
- W2232150403 hasRelatedWork W1968971433 @default.
- W2232150403 hasRelatedWork W1986684738 @default.
- W2232150403 hasRelatedWork W2002083291 @default.
- W2232150403 hasRelatedWork W2013504000 @default.
- W2232150403 hasRelatedWork W2023505575 @default.
- W2232150403 hasRelatedWork W2316925676 @default.
- W2232150403 hasRelatedWork W2365333639 @default.
- W2232150403 hasRelatedWork W2371125232 @default.
- W2232150403 hasRelatedWork W2373437113 @default.
- W2232150403 hasRelatedWork W2384974102 @default.
- W2232150403 isParatext "false" @default.
- W2232150403 isRetracted "false" @default.
- W2232150403 magId "2232150403" @default.
- W2232150403 workType "report" @default.