Matches in SemOpenAlex for { <https://semopenalex.org/work/W4384944304> ?p ?o ?g. }
Showing items 1 to 95 of
95
with 100 items per page.
- W4384944304 abstract "Abstract This is the first of a series of papers that develop a systematic bridge between constructions in discrete mathematics and the corresponding continuous analogs. In this paper, we establish an equivalence between Forman’s discrete Morse theory on a simplicial complex and the continuous Morse theory (in the sense of any known non-smooth Morse theory) on the associated order complex via the Lovász extension. Furthermore, we propose a new version of the Lusternik–Schnirelman category on abstract simplicial complexes to bridge the classical Lusternik–Schnirelman theorem and its discrete analog on finite complexes. More generally, we can suggest a discrete Morse theory on hypergraphs by employing piecewise-linear (PL) Morse theory and Lovász extension, hoping to provide new tools for exploring the structure of hypergraphs." @default.
- W4384944304 created "2023-07-22" @default.
- W4384944304 creator A5013039111 @default.
- W4384944304 creator A5072990982 @default.
- W4384944304 date "2023-07-21" @default.
- W4384944304 modified "2023-10-17" @default.
- W4384944304 title "Discrete-to-Continuous Extensions: Lovász Extension and Morse Theory" @default.
- W4384944304 cites W1498671329 @default.
- W4384944304 cites W1540633728 @default.
- W4384944304 cites W1548333856 @default.
- W4384944304 cites W1570807537 @default.
- W4384944304 cites W2005179357 @default.
- W4384944304 cites W2013083786 @default.
- W4384944304 cites W2013451459 @default.
- W4384944304 cites W2014823407 @default.
- W4384944304 cites W2027984435 @default.
- W4384944304 cites W2033810643 @default.
- W4384944304 cites W2037613900 @default.
- W4384944304 cites W2064020260 @default.
- W4384944304 cites W2082598343 @default.
- W4384944304 cites W2109978147 @default.
- W4384944304 cites W2146019744 @default.
- W4384944304 cites W2165125983 @default.
- W4384944304 cites W2322759512 @default.
- W4384944304 cites W23324085 @default.
- W4384944304 cites W2486409092 @default.
- W4384944304 cites W2908292748 @default.
- W4384944304 cites W2952019053 @default.
- W4384944304 cites W2962683434 @default.
- W4384944304 cites W2963081029 @default.
- W4384944304 cites W2963210866 @default.
- W4384944304 cites W2964961059 @default.
- W4384944304 cites W3099422512 @default.
- W4384944304 cites W3147764444 @default.
- W4384944304 cites W317369104 @default.
- W4384944304 cites W4206054140 @default.
- W4384944304 cites W4226412082 @default.
- W4384944304 cites W4247131145 @default.
- W4384944304 cites W4293713108 @default.
- W4384944304 cites W4300596011 @default.
- W4384944304 doi "https://doi.org/10.1007/s00454-022-00461-1" @default.
- W4384944304 hasPublicationYear "2023" @default.
- W4384944304 type Work @default.
- W4384944304 citedByCount "0" @default.
- W4384944304 crossrefType "journal-article" @default.
- W4384944304 hasAuthorship W4384944304A5013039111 @default.
- W4384944304 hasAuthorship W4384944304A5072990982 @default.
- W4384944304 hasBestOaLocation W43849443041 @default.
- W4384944304 hasConcept C118615104 @default.
- W4384944304 hasConcept C134306372 @default.
- W4384944304 hasConcept C136119220 @default.
- W4384944304 hasConcept C140031139 @default.
- W4384944304 hasConcept C156730297 @default.
- W4384944304 hasConcept C164660894 @default.
- W4384944304 hasConcept C170315498 @default.
- W4384944304 hasConcept C187929450 @default.
- W4384944304 hasConcept C199360897 @default.
- W4384944304 hasConcept C202444582 @default.
- W4384944304 hasConcept C24296071 @default.
- W4384944304 hasConcept C2778029271 @default.
- W4384944304 hasConcept C33923547 @default.
- W4384944304 hasConcept C41008148 @default.
- W4384944304 hasConcept C76155785 @default.
- W4384944304 hasConceptScore W4384944304C118615104 @default.
- W4384944304 hasConceptScore W4384944304C134306372 @default.
- W4384944304 hasConceptScore W4384944304C136119220 @default.
- W4384944304 hasConceptScore W4384944304C140031139 @default.
- W4384944304 hasConceptScore W4384944304C156730297 @default.
- W4384944304 hasConceptScore W4384944304C164660894 @default.
- W4384944304 hasConceptScore W4384944304C170315498 @default.
- W4384944304 hasConceptScore W4384944304C187929450 @default.
- W4384944304 hasConceptScore W4384944304C199360897 @default.
- W4384944304 hasConceptScore W4384944304C202444582 @default.
- W4384944304 hasConceptScore W4384944304C24296071 @default.
- W4384944304 hasConceptScore W4384944304C2778029271 @default.
- W4384944304 hasConceptScore W4384944304C33923547 @default.
- W4384944304 hasConceptScore W4384944304C41008148 @default.
- W4384944304 hasConceptScore W4384944304C76155785 @default.
- W4384944304 hasFunder F4320327897 @default.
- W4384944304 hasLocation W43849443041 @default.
- W4384944304 hasOpenAccess W4384944304 @default.
- W4384944304 hasPrimaryLocation W43849443041 @default.
- W4384944304 hasRelatedWork W1626931289 @default.
- W4384944304 hasRelatedWork W2028410143 @default.
- W4384944304 hasRelatedWork W2037435271 @default.
- W4384944304 hasRelatedWork W2057515400 @default.
- W4384944304 hasRelatedWork W2762398509 @default.
- W4384944304 hasRelatedWork W2783889900 @default.
- W4384944304 hasRelatedWork W2963272007 @default.
- W4384944304 hasRelatedWork W2984701503 @default.
- W4384944304 hasRelatedWork W4296764048 @default.
- W4384944304 hasRelatedWork W4308897745 @default.
- W4384944304 isParatext "false" @default.
- W4384944304 isRetracted "false" @default.
- W4384944304 workType "article" @default.