Matches in SemOpenAlex for { <https://semopenalex.org/work/W1718672927> ?p ?o ?g. }
- W1718672927 endingPage "98" @default.
- W1718672927 startingPage "59" @default.
- W1718672927 abstract "We introduce two operators on stable configurations of the sandpile model that provide an algorithmic bijection between recurrent and parking configurations. This bijection preserves their equivalence classes with respect to the sandpile group. The study of these operators in the special case of the complete bipartite graph Km,n naturally leads to a generalization of the well-known Cyclic Lemma of Dvoretsky and Motzkin, via pairs of periodic bi-infinite paths in the plane having slightly different slopes. We achieve our results by interpreting the action of these operators as an action on a point in the grid Z2 which is pointed to by one of these pairs of paths. Our Cyclic Lemma allows us to enumerate several classes of polyominoes, and therefore builds on the work of Irving and Rattan (2009), Chapman et al. (2009), and Bonin et al. (2003)." @default.
- W1718672927 created "2016-06-24" @default.
- W1718672927 creator A5010460422 @default.
- W1718672927 creator A5047624738 @default.
- W1718672927 creator A5054414618 @default.
- W1718672927 creator A5064805369 @default.
- W1718672927 date "2016-02-01" @default.
- W1718672927 modified "2023-10-03" @default.
- W1718672927 title "Two operators on sandpile configurations, the sandpile model on the complete bipartite graph, and a Cyclic Lemma" @default.
- W1718672927 cites W1557368527 @default.
- W1718672927 cites W1597381512 @default.
- W1718672927 cites W1978284489 @default.
- W1718672927 cites W1981082180 @default.
- W1718672927 cites W1988103589 @default.
- W1718672927 cites W2013190996 @default.
- W1718672927 cites W2018695682 @default.
- W1718672927 cites W2034224223 @default.
- W1718672927 cites W2034547325 @default.
- W1718672927 cites W2045430869 @default.
- W1718672927 cites W2075514521 @default.
- W1718672927 cites W2083387674 @default.
- W1718672927 cites W2088132468 @default.
- W1718672927 cites W3099200199 @default.
- W1718672927 doi "https://doi.org/10.1016/j.aam.2015.09.018" @default.
- W1718672927 hasPublicationYear "2016" @default.
- W1718672927 type Work @default.
- W1718672927 sameAs 1718672927 @default.
- W1718672927 citedByCount "9" @default.
- W1718672927 countsByYear W17186729272016 @default.
- W1718672927 countsByYear W17186729272018 @default.
- W1718672927 countsByYear W17186729272019 @default.
- W1718672927 countsByYear W17186729272020 @default.
- W1718672927 countsByYear W17186729272021 @default.
- W1718672927 countsByYear W17186729272023 @default.
- W1718672927 crossrefType "journal-article" @default.
- W1718672927 hasAuthorship W1718672927A5010460422 @default.
- W1718672927 hasAuthorship W1718672927A5047624738 @default.
- W1718672927 hasAuthorship W1718672927A5054414618 @default.
- W1718672927 hasAuthorship W1718672927A5064805369 @default.
- W1718672927 hasBestOaLocation W17186729276 @default.
- W1718672927 hasConcept C112680207 @default.
- W1718672927 hasConcept C114614502 @default.
- W1718672927 hasConcept C118615104 @default.
- W1718672927 hasConcept C121332964 @default.
- W1718672927 hasConcept C121864883 @default.
- W1718672927 hasConcept C132525143 @default.
- W1718672927 hasConcept C134119311 @default.
- W1718672927 hasConcept C18903297 @default.
- W1718672927 hasConcept C197657726 @default.
- W1718672927 hasConcept C24424167 @default.
- W1718672927 hasConcept C2524010 @default.
- W1718672927 hasConcept C2777759810 @default.
- W1718672927 hasConcept C33923547 @default.
- W1718672927 hasConcept C46757340 @default.
- W1718672927 hasConcept C52359947 @default.
- W1718672927 hasConcept C69919132 @default.
- W1718672927 hasConcept C86803240 @default.
- W1718672927 hasConceptScore W1718672927C112680207 @default.
- W1718672927 hasConceptScore W1718672927C114614502 @default.
- W1718672927 hasConceptScore W1718672927C118615104 @default.
- W1718672927 hasConceptScore W1718672927C121332964 @default.
- W1718672927 hasConceptScore W1718672927C121864883 @default.
- W1718672927 hasConceptScore W1718672927C132525143 @default.
- W1718672927 hasConceptScore W1718672927C134119311 @default.
- W1718672927 hasConceptScore W1718672927C18903297 @default.
- W1718672927 hasConceptScore W1718672927C197657726 @default.
- W1718672927 hasConceptScore W1718672927C24424167 @default.
- W1718672927 hasConceptScore W1718672927C2524010 @default.
- W1718672927 hasConceptScore W1718672927C2777759810 @default.
- W1718672927 hasConceptScore W1718672927C33923547 @default.
- W1718672927 hasConceptScore W1718672927C46757340 @default.
- W1718672927 hasConceptScore W1718672927C52359947 @default.
- W1718672927 hasConceptScore W1718672927C69919132 @default.
- W1718672927 hasConceptScore W1718672927C86803240 @default.
- W1718672927 hasFunder F4320320883 @default.
- W1718672927 hasLocation W17186729271 @default.
- W1718672927 hasLocation W17186729272 @default.
- W1718672927 hasLocation W17186729273 @default.
- W1718672927 hasLocation W17186729274 @default.
- W1718672927 hasLocation W17186729275 @default.
- W1718672927 hasLocation W17186729276 @default.
- W1718672927 hasLocation W17186729277 @default.
- W1718672927 hasOpenAccess W1718672927 @default.
- W1718672927 hasPrimaryLocation W17186729271 @default.
- W1718672927 hasRelatedWork W1604070393 @default.
- W1718672927 hasRelatedWork W1718672927 @default.
- W1718672927 hasRelatedWork W2054383364 @default.
- W1718672927 hasRelatedWork W2143122465 @default.
- W1718672927 hasRelatedWork W2405987656 @default.
- W1718672927 hasRelatedWork W3018486525 @default.
- W1718672927 hasRelatedWork W4235475206 @default.
- W1718672927 hasRelatedWork W4295911352 @default.
- W1718672927 hasRelatedWork W4297424415 @default.
- W1718672927 hasRelatedWork W4319342972 @default.
- W1718672927 hasVolume "73" @default.
- W1718672927 isParatext "false" @default.
- W1718672927 isRetracted "false" @default.
- W1718672927 magId "1718672927" @default.