FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2077002020> ?p ?o ?g. }

• W2077002020 endingPage "274" @default.
• W2077002020 startingPage "269" @default.
• W2077002020 abstract "With increased complexity of geometric data, topological models play an increasingly important role beyond boundary representations, assemblies, finite elements, image processing, and other traditional modeling applications. While many graph- and index-based data structures have been proposed, no standard representation has emerged as of now. Furthermore, such representations typically do not deal with representations of mappings and functions and do not scale to support parallel processing, open source, and client-based architectures. We advocate that a proper mathematical model for all topological structures is a (co)chain complex: a sequence of (co)chain spaces and (co)boundary mappings. This in turn implies all topological structures may be represented by a collection of sparse matrices. We propose a Linear Algebraic Representation (LAR) scheme for mod 2 (co)chain complexes using CSR matrices and show that it supports a variety of topological computations using standard matrix algebra, without any overhead in space or running time. A full open source implementation of LAR is available and is being used for a variety of applications." @default.
• W2077002020 created "2016-06-24" @default.
• W2077002020 creator A5034405971 @default.
• W2077002020 creator A5035988852 @default.
• W2077002020 creator A5074046624 @default.
• W2077002020 date "2014-01-01" @default.
• W2077002020 modified "2023-09-27" @default.
• W2077002020 title "Linear algebraic representation for topological structures" @default.
• W2077002020 cites W2005045499 @default.
• W2077002020 cites W2020861390 @default.
• W2077002020 cites W2052165970 @default.
• W2077002020 cites W2094430291 @default.
• W2077002020 cites W2100185791 @default.
• W2077002020 cites W2152495224 @default.
• W2077002020 cites W2159314042 @default.
• W2077002020 cites W3106161546 @default.
• W2077002020 cites W4237713727 @default.
• W2077002020 doi "https://doi.org/10.1016/j.cad.2013.08.044" @default.
• W2077002020 hasPublicationYear "2014" @default.
• W2077002020 type Work @default.
• W2077002020 sameAs 2077002020 @default.
• W2077002020 citedByCount "19" @default.
• W2077002020 countsByYear W20770020202014 @default.
• W2077002020 countsByYear W20770020202015 @default.
• W2077002020 countsByYear W20770020202016 @default.
• W2077002020 countsByYear W20770020202017 @default.
• W2077002020 countsByYear W20770020202019 @default.
• W2077002020 countsByYear W20770020202020 @default.
• W2077002020 countsByYear W20770020202021 @default.
• W2077002020 countsByYear W20770020202022 @default.
• W2077002020 countsByYear W20770020202023 @default.
• W2077002020 crossrefType "journal-article" @default.
• W2077002020 hasAuthorship W2077002020A5034405971 @default.
• W2077002020 hasAuthorship W2077002020A5035988852 @default.
• W2077002020 hasAuthorship W2077002020A5074046624 @default.
• W2077002020 hasConcept C103275481 @default.
• W2077002020 hasConcept C114614502 @default.
• W2077002020 hasConcept C117258860 @default.
• W2077002020 hasConcept C121332964 @default.
• W2077002020 hasConcept C1276947 @default.
• W2077002020 hasConcept C132525143 @default.
• W2077002020 hasConcept C134306372 @default.
• W2077002020 hasConcept C136197465 @default.
• W2077002020 hasConcept C154945302 @default.
• W2077002020 hasConcept C17744445 @default.
• W2077002020 hasConcept C178790620 @default.
• W2077002020 hasConcept C184720557 @default.
• W2077002020 hasConcept C185592680 @default.
• W2077002020 hasConcept C199185054 @default.
• W2077002020 hasConcept C199539241 @default.
• W2077002020 hasConcept C2776359362 @default.
• W2077002020 hasConcept C2781311116 @default.
• W2077002020 hasConcept C33923547 @default.
• W2077002020 hasConcept C41008148 @default.
• W2077002020 hasConcept C62354387 @default.
• W2077002020 hasConcept C80444323 @default.
• W2077002020 hasConcept C8764922 @default.
• W2077002020 hasConcept C9376300 @default.
• W2077002020 hasConcept C94625758 @default.
• W2077002020 hasConceptScore W2077002020C103275481 @default.
• W2077002020 hasConceptScore W2077002020C114614502 @default.
• W2077002020 hasConceptScore W2077002020C117258860 @default.
• W2077002020 hasConceptScore W2077002020C121332964 @default.
• W2077002020 hasConceptScore W2077002020C1276947 @default.
• W2077002020 hasConceptScore W2077002020C132525143 @default.
• W2077002020 hasConceptScore W2077002020C134306372 @default.
• W2077002020 hasConceptScore W2077002020C136197465 @default.
• W2077002020 hasConceptScore W2077002020C154945302 @default.
• W2077002020 hasConceptScore W2077002020C17744445 @default.
• W2077002020 hasConceptScore W2077002020C178790620 @default.
• W2077002020 hasConceptScore W2077002020C184720557 @default.
• W2077002020 hasConceptScore W2077002020C185592680 @default.
• W2077002020 hasConceptScore W2077002020C199185054 @default.
• W2077002020 hasConceptScore W2077002020C199539241 @default.
• W2077002020 hasConceptScore W2077002020C2776359362 @default.
• W2077002020 hasConceptScore W2077002020C2781311116 @default.
• W2077002020 hasConceptScore W2077002020C33923547 @default.
• W2077002020 hasConceptScore W2077002020C41008148 @default.
• W2077002020 hasConceptScore W2077002020C62354387 @default.
• W2077002020 hasConceptScore W2077002020C80444323 @default.
• W2077002020 hasConceptScore W2077002020C8764922 @default.
• W2077002020 hasConceptScore W2077002020C9376300 @default.
• W2077002020 hasConceptScore W2077002020C94625758 @default.
• W2077002020 hasLocation W20770020201 @default.
• W2077002020 hasOpenAccess W2077002020 @default.
• W2077002020 hasPrimaryLocation W20770020201 @default.
• W2077002020 hasRelatedWork W121240622 @default.
• W2077002020 hasRelatedWork W1980673474 @default.
• W2077002020 hasRelatedWork W1981491560 @default.
• W2077002020 hasRelatedWork W2002725773 @default.
• W2077002020 hasRelatedWork W2004437008 @default.
• W2077002020 hasRelatedWork W2026829971 @default.
• W2077002020 hasRelatedWork W2048256539 @default.
• W2077002020 hasRelatedWork W2890185913 @default.
• W2077002020 hasRelatedWork W2964259216 @default.
• W2077002020 hasRelatedWork W3184883859 @default.
• W2077002020 hasVolume "46" @default.
• W2077002020 isParatext "false" @default.

• next