Matches in SemOpenAlex for { <https://semopenalex.org/work/W2057579192> ?p ?o ?g. }
Showing items 1 to 98 of
98
with 100 items per page.
- W2057579192 endingPage "446" @default.
- W2057579192 startingPage "421" @default.
- W2057579192 abstract "Let P(G,q) be the chromatic polynomial for coloring the n-vertex graph G with q colors, and define W=limn→∞P(G,q)1/n. Besides their mathematical interest, these functions are important in statistical physics. We give a comparative discussion of exact calculations of P and W for a variety of recursive families of graphs, including strips of regular lattices with various boundary conditions and homeomorphic expansions thereof. Generalizing to q∈C, we determine the accumulation sets of the chromatic zeros, which constitute the continuous loci of points on which W is nonanalytic. Conditions for the chromatic zeros and their accumulation set to (i) include support for Re(q)<0; (ii) to bound regions; and (iii) to be noncompact are discussed, and the role of boundary conditions is analyzed. Some corresponding results are presented for Potts model partition functions for nonzero temperature, equivalent to the full Tutte polynomials for various families of graphs." @default.
- W2057579192 created "2016-06-24" @default.
- W2057579192 creator A5085941621 @default.
- W2057579192 date "2001-03-01" @default.
- W2057579192 modified "2023-09-25" @default.
- W2057579192 title "Chromatic polynomials and their zeros and asymptotic limits for families of graphs" @default.
- W2057579192 cites W1560124954 @default.
- W2057579192 cites W1828839365 @default.
- W2057579192 cites W1879390795 @default.
- W2057579192 cites W1965511886 @default.
- W2057579192 cites W1987008489 @default.
- W2057579192 cites W1997742365 @default.
- W2057579192 cites W2008263650 @default.
- W2057579192 cites W2008502103 @default.
- W2057579192 cites W2017892746 @default.
- W2057579192 cites W2021555955 @default.
- W2057579192 cites W2028305552 @default.
- W2057579192 cites W2031659078 @default.
- W2057579192 cites W2032811360 @default.
- W2057579192 cites W2033328039 @default.
- W2057579192 cites W2051019275 @default.
- W2057579192 cites W2058124258 @default.
- W2057579192 cites W2063423981 @default.
- W2057579192 cites W2069278157 @default.
- W2057579192 cites W2070512197 @default.
- W2057579192 cites W2077457551 @default.
- W2057579192 cites W2079197393 @default.
- W2057579192 cites W2092645077 @default.
- W2057579192 cites W2123934736 @default.
- W2057579192 cites W2159793005 @default.
- W2057579192 cites W2314361409 @default.
- W2057579192 cites W2332615042 @default.
- W2057579192 cites W3015358064 @default.
- W2057579192 cites W3105241367 @default.
- W2057579192 doi "https://doi.org/10.1016/s0012-365x(00)00336-8" @default.
- W2057579192 hasPublicationYear "2001" @default.
- W2057579192 type Work @default.
- W2057579192 sameAs 2057579192 @default.
- W2057579192 citedByCount "40" @default.
- W2057579192 countsByYear W20575791922012 @default.
- W2057579192 countsByYear W20575791922013 @default.
- W2057579192 countsByYear W20575791922014 @default.
- W2057579192 countsByYear W20575791922015 @default.
- W2057579192 countsByYear W20575791922019 @default.
- W2057579192 countsByYear W20575791922020 @default.
- W2057579192 crossrefType "journal-article" @default.
- W2057579192 hasAuthorship W2057579192A5085941621 @default.
- W2057579192 hasBestOaLocation W20575791921 @default.
- W2057579192 hasConcept C114614502 @default.
- W2057579192 hasConcept C118615104 @default.
- W2057579192 hasConcept C121332964 @default.
- W2057579192 hasConcept C121864883 @default.
- W2057579192 hasConcept C126385604 @default.
- W2057579192 hasConcept C132525143 @default.
- W2057579192 hasConcept C134306372 @default.
- W2057579192 hasConcept C196956537 @default.
- W2057579192 hasConcept C33923547 @default.
- W2057579192 hasConcept C42812 @default.
- W2057579192 hasConcept C51329190 @default.
- W2057579192 hasConcept C62354387 @default.
- W2057579192 hasConcept C80899671 @default.
- W2057579192 hasConcept C98925819 @default.
- W2057579192 hasConceptScore W2057579192C114614502 @default.
- W2057579192 hasConceptScore W2057579192C118615104 @default.
- W2057579192 hasConceptScore W2057579192C121332964 @default.
- W2057579192 hasConceptScore W2057579192C121864883 @default.
- W2057579192 hasConceptScore W2057579192C126385604 @default.
- W2057579192 hasConceptScore W2057579192C132525143 @default.
- W2057579192 hasConceptScore W2057579192C134306372 @default.
- W2057579192 hasConceptScore W2057579192C196956537 @default.
- W2057579192 hasConceptScore W2057579192C33923547 @default.
- W2057579192 hasConceptScore W2057579192C42812 @default.
- W2057579192 hasConceptScore W2057579192C51329190 @default.
- W2057579192 hasConceptScore W2057579192C62354387 @default.
- W2057579192 hasConceptScore W2057579192C80899671 @default.
- W2057579192 hasConceptScore W2057579192C98925819 @default.
- W2057579192 hasIssue "1-3" @default.
- W2057579192 hasLocation W20575791921 @default.
- W2057579192 hasLocation W20575791922 @default.
- W2057579192 hasOpenAccess W2057579192 @default.
- W2057579192 hasPrimaryLocation W20575791921 @default.
- W2057579192 hasRelatedWork W2025517193 @default.
- W2057579192 hasRelatedWork W2057579192 @default.
- W2057579192 hasRelatedWork W2068071044 @default.
- W2057579192 hasRelatedWork W2293240310 @default.
- W2057579192 hasRelatedWork W2347260277 @default.
- W2057579192 hasRelatedWork W2387028866 @default.
- W2057579192 hasRelatedWork W2422813311 @default.
- W2057579192 hasRelatedWork W3187949862 @default.
- W2057579192 hasRelatedWork W4225918944 @default.
- W2057579192 hasRelatedWork W4287018471 @default.
- W2057579192 hasVolume "231" @default.
- W2057579192 isParatext "false" @default.
- W2057579192 isRetracted "false" @default.
- W2057579192 magId "2057579192" @default.
- W2057579192 workType "article" @default.