Matches in SemOpenAlex for { <https://semopenalex.org/work/W2949296885> ?p ?o ?g. }
Showing items 1 to 91 of
91
with 100 items per page.
- W2949296885 abstract "We study the {sc Graph Relabeling Problem}--given an undirected, connected, simple graph $G = (V,E)$, two labelings $L$ and $L'$ of $G$, and label {em flip} or {em mutation} functions determine the complexity of transforming or evolving the labeling $L$ into $L'$@. The transformation of $L$ into $L'$ can be viewed as an evolutionary process governed by the types of flips or mutations allowed. The number of applications of the function is the duration of the evolutionary period. The labels may reside on the vertices or the edges. We prove that vertex and edge relabelings have closely related computational complexities. Upper and lower bounds on the number of mutations required to evolve one labeling into another in a general graph are given. Exact bounds for the number of mutations required to evolve paths and stars are given. This corresponds to computing the exact distance between two vertices in the corresponding {em Cayley graph}. We finally explore both vertex and edge relabeling with {em privileged labels}, and resolve some open problems by providing precise characterizations of when these problems are solvable. Many of our results include algorithms for solving the problems, and in all cases the algorithms are polynomial-time. The problems studied have applications in areas such as bioinformatics, networks, and VLSI." @default.
- W2949296885 created "2019-06-27" @default.
- W2949296885 creator A5014588132 @default.
- W2949296885 creator A5020199617 @default.
- W2949296885 creator A5043885349 @default.
- W2949296885 date "2008-09-12" @default.
- W2949296885 modified "2023-09-27" @default.
- W2949296885 title "The Complexity of the Evolution of Graph Labelings" @default.
- W2949296885 cites W1484543240 @default.
- W2949296885 cites W1538344646 @default.
- W2949296885 cites W1965172764 @default.
- W2949296885 cites W2034604437 @default.
- W2949296885 cites W2048036606 @default.
- W2949296885 cites W2060643540 @default.
- W2949296885 cites W2096112012 @default.
- W2949296885 cites W2104852618 @default.
- W2949296885 cites W2120637532 @default.
- W2949296885 cites W21349157 @default.
- W2949296885 cites W2139250613 @default.
- W2949296885 cites W2141736587 @default.
- W2949296885 cites W2321811561 @default.
- W2949296885 cites W3004540582 @default.
- W2949296885 cites W3138237834 @default.
- W2949296885 cites W599055196 @default.
- W2949296885 cites W599250420 @default.
- W2949296885 cites W83409048 @default.
- W2949296885 hasPublicationYear "2008" @default.
- W2949296885 type Work @default.
- W2949296885 sameAs 2949296885 @default.
- W2949296885 citedByCount "0" @default.
- W2949296885 crossrefType "posted-content" @default.
- W2949296885 hasAuthorship W2949296885A5014588132 @default.
- W2949296885 hasAuthorship W2949296885A5020199617 @default.
- W2949296885 hasAuthorship W2949296885A5043885349 @default.
- W2949296885 hasConcept C114614502 @default.
- W2949296885 hasConcept C118615104 @default.
- W2949296885 hasConcept C132525143 @default.
- W2949296885 hasConcept C134306372 @default.
- W2949296885 hasConcept C149530733 @default.
- W2949296885 hasConcept C150433608 @default.
- W2949296885 hasConcept C203776342 @default.
- W2949296885 hasConcept C22149727 @default.
- W2949296885 hasConcept C3018234147 @default.
- W2949296885 hasConcept C311688 @default.
- W2949296885 hasConcept C33923547 @default.
- W2949296885 hasConcept C41008148 @default.
- W2949296885 hasConcept C77553402 @default.
- W2949296885 hasConcept C80763892 @default.
- W2949296885 hasConcept C80899671 @default.
- W2949296885 hasConceptScore W2949296885C114614502 @default.
- W2949296885 hasConceptScore W2949296885C118615104 @default.
- W2949296885 hasConceptScore W2949296885C132525143 @default.
- W2949296885 hasConceptScore W2949296885C134306372 @default.
- W2949296885 hasConceptScore W2949296885C149530733 @default.
- W2949296885 hasConceptScore W2949296885C150433608 @default.
- W2949296885 hasConceptScore W2949296885C203776342 @default.
- W2949296885 hasConceptScore W2949296885C22149727 @default.
- W2949296885 hasConceptScore W2949296885C3018234147 @default.
- W2949296885 hasConceptScore W2949296885C311688 @default.
- W2949296885 hasConceptScore W2949296885C33923547 @default.
- W2949296885 hasConceptScore W2949296885C41008148 @default.
- W2949296885 hasConceptScore W2949296885C77553402 @default.
- W2949296885 hasConceptScore W2949296885C80763892 @default.
- W2949296885 hasConceptScore W2949296885C80899671 @default.
- W2949296885 hasLocation W29492968851 @default.
- W2949296885 hasOpenAccess W2949296885 @default.
- W2949296885 hasPrimaryLocation W29492968851 @default.
- W2949296885 hasRelatedWork W1520824195 @default.
- W2949296885 hasRelatedWork W1533217239 @default.
- W2949296885 hasRelatedWork W1710394092 @default.
- W2949296885 hasRelatedWork W171389261 @default.
- W2949296885 hasRelatedWork W1890074740 @default.
- W2949296885 hasRelatedWork W200506746 @default.
- W2949296885 hasRelatedWork W2023673835 @default.
- W2949296885 hasRelatedWork W2048845385 @default.
- W2949296885 hasRelatedWork W2055812774 @default.
- W2949296885 hasRelatedWork W2070099460 @default.
- W2949296885 hasRelatedWork W2111894911 @default.
- W2949296885 hasRelatedWork W2132809233 @default.
- W2949296885 hasRelatedWork W2172997278 @default.
- W2949296885 hasRelatedWork W2246217711 @default.
- W2949296885 hasRelatedWork W2523666425 @default.
- W2949296885 hasRelatedWork W2963729476 @default.
- W2949296885 hasRelatedWork W3022854747 @default.
- W2949296885 hasRelatedWork W3116738772 @default.
- W2949296885 hasRelatedWork W3200476441 @default.
- W2949296885 hasRelatedWork W3211992564 @default.
- W2949296885 isParatext "false" @default.
- W2949296885 isRetracted "false" @default.
- W2949296885 magId "2949296885" @default.
- W2949296885 workType "article" @default.