Matches in SemOpenAlex for { <https://semopenalex.org/work/W4224082136> ?p ?o ?g. }
Showing items 1 to 69 of
69
with 100 items per page.
- W4224082136 abstract "Abstract Motivation Graph canonisation and isomorphism testing representation are fundamental computational problems, whose complexity has remained unsolved to date. This study examines graph eigenprojections, demonstrating that linear-ordering transformations induce canonical properties therein to yield polynomial-time canonisation and isomorphism testing in all undirected graphs. Results This study presents an exact method to identify analogous vertices in isomorphic graphs, through comparison of vertices’ eigenprojection matrices, which are shown to be related by a linear permutation. Systematic perturbation strategies are developed to reduce degeneracy whilst conserving isomorphism, through the addition of characteristically weighted self-loops to analogous vertices. Repeated iterations of analogy testing and perturbation deliver canonical vertex labelling and recovery of isomorphic mappings in time in all graphs. Analytical proofs are provided to support claims and experimental performance is demonstrated in biological and synthetic data, with comparison to a commonly used heuristic algorithm. Availability and Implementation Source code is provided at github.com/robertoshea/graph_isomorphism . Contact robert.1.oshea@kcl.ac.uk Supplementary Data. Not applicable." @default.
- W4224082136 created "2022-04-19" @default.
- W4224082136 creator A5037056341 @default.
- W4224082136 date "2022-04-15" @default.
- W4224082136 modified "2023-10-16" @default.
- W4224082136 title "Exact polynomial-time graph canonisation and isomorphism testing through comparison of ordered vertex eigenprojections" @default.
- W4224082136 cites W165726963 @default.
- W4224082136 cites W1974672137 @default.
- W4224082136 cites W2018099718 @default.
- W4224082136 cites W2037192432 @default.
- W4224082136 cites W2081812591 @default.
- W4224082136 cites W2401610261 @default.
- W4224082136 cites W2493340620 @default.
- W4224082136 cites W3093996209 @default.
- W4224082136 cites W603657711 @default.
- W4224082136 doi "https://doi.org/10.1101/2022.04.14.488296" @default.
- W4224082136 hasPublicationYear "2022" @default.
- W4224082136 type Work @default.
- W4224082136 citedByCount "1" @default.
- W4224082136 countsByYear W42240821362022 @default.
- W4224082136 crossrefType "posted-content" @default.
- W4224082136 hasAuthorship W4224082136A5037056341 @default.
- W4224082136 hasBestOaLocation W42240821361 @default.
- W4224082136 hasConcept C114614502 @default.
- W4224082136 hasConcept C115624301 @default.
- W4224082136 hasConcept C118615104 @default.
- W4224082136 hasConcept C132525143 @default.
- W4224082136 hasConcept C185592680 @default.
- W4224082136 hasConcept C203436722 @default.
- W4224082136 hasConcept C203776342 @default.
- W4224082136 hasConcept C22149727 @default.
- W4224082136 hasConcept C311688 @default.
- W4224082136 hasConcept C33923547 @default.
- W4224082136 hasConcept C41008148 @default.
- W4224082136 hasConcept C61665672 @default.
- W4224082136 hasConcept C64339825 @default.
- W4224082136 hasConcept C8010536 @default.
- W4224082136 hasConcept C80899671 @default.
- W4224082136 hasConceptScore W4224082136C114614502 @default.
- W4224082136 hasConceptScore W4224082136C115624301 @default.
- W4224082136 hasConceptScore W4224082136C118615104 @default.
- W4224082136 hasConceptScore W4224082136C132525143 @default.
- W4224082136 hasConceptScore W4224082136C185592680 @default.
- W4224082136 hasConceptScore W4224082136C203436722 @default.
- W4224082136 hasConceptScore W4224082136C203776342 @default.
- W4224082136 hasConceptScore W4224082136C22149727 @default.
- W4224082136 hasConceptScore W4224082136C311688 @default.
- W4224082136 hasConceptScore W4224082136C33923547 @default.
- W4224082136 hasConceptScore W4224082136C41008148 @default.
- W4224082136 hasConceptScore W4224082136C61665672 @default.
- W4224082136 hasConceptScore W4224082136C64339825 @default.
- W4224082136 hasConceptScore W4224082136C8010536 @default.
- W4224082136 hasConceptScore W4224082136C80899671 @default.
- W4224082136 hasLocation W42240821361 @default.
- W4224082136 hasOpenAccess W4224082136 @default.
- W4224082136 hasPrimaryLocation W42240821361 @default.
- W4224082136 hasRelatedWork W1560182867 @default.
- W4224082136 hasRelatedWork W1808196232 @default.
- W4224082136 hasRelatedWork W1988965627 @default.
- W4224082136 hasRelatedWork W2091346931 @default.
- W4224082136 hasRelatedWork W2095869086 @default.
- W4224082136 hasRelatedWork W2109056537 @default.
- W4224082136 hasRelatedWork W2913482449 @default.
- W4224082136 hasRelatedWork W2990262000 @default.
- W4224082136 hasRelatedWork W4306705875 @default.
- W4224082136 hasRelatedWork W2585807945 @default.
- W4224082136 isParatext "false" @default.
- W4224082136 isRetracted "false" @default.
- W4224082136 workType "article" @default.