Matches in SemOpenAlex for { <https://semopenalex.org/work/W3100125890> ?p ?o ?g. }
Showing items 1 to 98 of
98
with 100 items per page.
- W3100125890 endingPage "749" @default.
- W3100125890 startingPage "721" @default.
- W3100125890 abstract "Several polytopes arise from finite graphs. For edge and symmetric edge polytopes, in particular, exhaustive computation of the Ehrhart polynomials not merely supports the conjecture of Beck et al. that all roots α of Ehrhart polynomials of polytopes of dimension D satisfy −D≤Re(α)≤D−1, but also reveals some interesting phenomena for each type of polytope. Here we present two new conjectures: (1) the roots of the Ehrhart polynomial of an edge polytope for a complete multipartite graph of order d lie in the circle $|z+frac{d}{4}| le frac{d}{4}$ or are negative integers, and (2) a Gorenstein Fano polytope of dimension D has the roots of its Ehrhart polynomial in the narrower strip $-frac{D}{2} leq mathrm{Re}(alpha) leq frac{D}{2}-1$ . Some rigorous results to support them are obtained as well as for the original conjecture. The root distribution of Ehrhart polynomials of each type of polytope is plotted in figures." @default.
- W3100125890 created "2020-11-23" @default.
- W3100125890 creator A5005668319 @default.
- W3100125890 creator A5046851808 @default.
- W3100125890 creator A5048265802 @default.
- W3100125890 creator A5052529346 @default.
- W3100125890 creator A5082935009 @default.
- W3100125890 date "2011-05-04" @default.
- W3100125890 modified "2023-09-25" @default.
- W3100125890 title "Roots of Ehrhart polynomials arising from graphs" @default.
- W3100125890 cites W135008847 @default.
- W3100125890 cites W1535722101 @default.
- W3100125890 cites W1549448410 @default.
- W3100125890 cites W1595605524 @default.
- W3100125890 cites W1984810622 @default.
- W3100125890 cites W2010866318 @default.
- W3100125890 cites W2029143416 @default.
- W3100125890 cites W2036854788 @default.
- W3100125890 cites W2090824304 @default.
- W3100125890 cites W2110366495 @default.
- W3100125890 cites W2123608978 @default.
- W3100125890 cites W2143808019 @default.
- W3100125890 cites W2150346305 @default.
- W3100125890 cites W2165868045 @default.
- W3100125890 cites W2233474732 @default.
- W3100125890 cites W4206077821 @default.
- W3100125890 cites W4213214460 @default.
- W3100125890 cites W4300302225 @default.
- W3100125890 doi "https://doi.org/10.1007/s10801-011-0290-8" @default.
- W3100125890 hasPublicationYear "2011" @default.
- W3100125890 type Work @default.
- W3100125890 sameAs 3100125890 @default.
- W3100125890 citedByCount "22" @default.
- W3100125890 countsByYear W31001258902012 @default.
- W3100125890 countsByYear W31001258902015 @default.
- W3100125890 countsByYear W31001258902017 @default.
- W3100125890 countsByYear W31001258902019 @default.
- W3100125890 countsByYear W31001258902020 @default.
- W3100125890 countsByYear W31001258902021 @default.
- W3100125890 countsByYear W31001258902022 @default.
- W3100125890 countsByYear W31001258902023 @default.
- W3100125890 crossrefType "journal-article" @default.
- W3100125890 hasAuthorship W3100125890A5005668319 @default.
- W3100125890 hasAuthorship W3100125890A5046851808 @default.
- W3100125890 hasAuthorship W3100125890A5048265802 @default.
- W3100125890 hasAuthorship W3100125890A5052529346 @default.
- W3100125890 hasAuthorship W3100125890A5082935009 @default.
- W3100125890 hasBestOaLocation W31001258901 @default.
- W3100125890 hasConcept C114614502 @default.
- W3100125890 hasConcept C118615104 @default.
- W3100125890 hasConcept C134306372 @default.
- W3100125890 hasConcept C145691206 @default.
- W3100125890 hasConcept C18903297 @default.
- W3100125890 hasConcept C202444582 @default.
- W3100125890 hasConcept C2777299769 @default.
- W3100125890 hasConcept C2780990831 @default.
- W3100125890 hasConcept C33676613 @default.
- W3100125890 hasConcept C33923547 @default.
- W3100125890 hasConcept C39757861 @default.
- W3100125890 hasConcept C86803240 @default.
- W3100125890 hasConcept C90119067 @default.
- W3100125890 hasConceptScore W3100125890C114614502 @default.
- W3100125890 hasConceptScore W3100125890C118615104 @default.
- W3100125890 hasConceptScore W3100125890C134306372 @default.
- W3100125890 hasConceptScore W3100125890C145691206 @default.
- W3100125890 hasConceptScore W3100125890C18903297 @default.
- W3100125890 hasConceptScore W3100125890C202444582 @default.
- W3100125890 hasConceptScore W3100125890C2777299769 @default.
- W3100125890 hasConceptScore W3100125890C2780990831 @default.
- W3100125890 hasConceptScore W3100125890C33676613 @default.
- W3100125890 hasConceptScore W3100125890C33923547 @default.
- W3100125890 hasConceptScore W3100125890C39757861 @default.
- W3100125890 hasConceptScore W3100125890C86803240 @default.
- W3100125890 hasConceptScore W3100125890C90119067 @default.
- W3100125890 hasIssue "4" @default.
- W3100125890 hasLocation W31001258901 @default.
- W3100125890 hasLocation W31001258902 @default.
- W3100125890 hasLocation W31001258903 @default.
- W3100125890 hasLocation W31001258904 @default.
- W3100125890 hasOpenAccess W3100125890 @default.
- W3100125890 hasPrimaryLocation W31001258901 @default.
- W3100125890 hasRelatedWork W2012395617 @default.
- W3100125890 hasRelatedWork W2086770023 @default.
- W3100125890 hasRelatedWork W2271061143 @default.
- W3100125890 hasRelatedWork W2299797353 @default.
- W3100125890 hasRelatedWork W2963848090 @default.
- W3100125890 hasRelatedWork W3164470231 @default.
- W3100125890 hasRelatedWork W4206350558 @default.
- W3100125890 hasRelatedWork W4226162181 @default.
- W3100125890 hasRelatedWork W4287703273 @default.
- W3100125890 hasRelatedWork W4309126428 @default.
- W3100125890 hasVolume "34" @default.
- W3100125890 isParatext "false" @default.
- W3100125890 isRetracted "false" @default.
- W3100125890 magId "3100125890" @default.
- W3100125890 workType "article" @default.