Matches in SemOpenAlex for { <https://semopenalex.org/work/W3042344420> ?p ?o ?g. }
Showing items 1 to 93 of
93
with 100 items per page.
- W3042344420 abstract "In this paper we consider domino tilings of bounded regions in dimension $n geq 4$. We define the twist of such a tiling, an elements of ${mathbb{Z}}/(2)$, and prove it is invariant under flips, a simple local move in the space of tilings. We investigate which regions $D$ are regular, i.e. whenever two tilings $t_0$ and $t_1$ of $D times [0,N]$ have the same twist then $t_0$ and $t_1$ can be joined by a sequence of flips provided some extra vertical space is allowed. We prove that all boxes are regular except $D = [0,2]^3$. Furthermore, given a regular region $D$, we show that there exists a value $M$ (depending only on $D$) such that if $t_0$ and $t_1$ are tilings of equal twist of $D times [0,N]$ then the corresponding tilings can be joined by a finite sequence of flips in $D times [0,N+M]$. As a corollary we deduce that, for regular $D$ and large $N$, the set of tilings of $D times [0,N]$ has two twin giant components under flips, one for each value of the twist." @default.
- W3042344420 created "2020-07-23" @default.
- W3042344420 creator A5018272550 @default.
- W3042344420 creator A5091682509 @default.
- W3042344420 date "2020-07-16" @default.
- W3042344420 modified "2023-09-27" @default.
- W3042344420 title "Domino tilings and flips in dimensions 4 and higher" @default.
- W3042344420 cites W1531525694 @default.
- W3042344420 cites W1614272463 @default.
- W3042344420 cites W1653035750 @default.
- W3042344420 cites W1858129486 @default.
- W3042344420 cites W2018696655 @default.
- W3042344420 cites W2065813152 @default.
- W3042344420 cites W2096486078 @default.
- W3042344420 cites W2619215003 @default.
- W3042344420 cites W2963364193 @default.
- W3042344420 cites W2998668978 @default.
- W3042344420 cites W3133141451 @default.
- W3042344420 hasPublicationYear "2020" @default.
- W3042344420 type Work @default.
- W3042344420 sameAs 3042344420 @default.
- W3042344420 citedByCount "1" @default.
- W3042344420 countsByYear W30423444202020 @default.
- W3042344420 crossrefType "posted-content" @default.
- W3042344420 hasAuthorship W3042344420A5018272550 @default.
- W3042344420 hasAuthorship W3042344420A5091682509 @default.
- W3042344420 hasConcept C111919701 @default.
- W3042344420 hasConcept C114614502 @default.
- W3042344420 hasConcept C134306372 @default.
- W3042344420 hasConcept C161790260 @default.
- W3042344420 hasConcept C185592680 @default.
- W3042344420 hasConcept C190470478 @default.
- W3042344420 hasConcept C21550011 @default.
- W3042344420 hasConcept C2524010 @default.
- W3042344420 hasConcept C2776196297 @default.
- W3042344420 hasConcept C2776416436 @default.
- W3042344420 hasConcept C2778112365 @default.
- W3042344420 hasConcept C2778572836 @default.
- W3042344420 hasConcept C33676613 @default.
- W3042344420 hasConcept C33923547 @default.
- W3042344420 hasConcept C34388435 @default.
- W3042344420 hasConcept C37914503 @default.
- W3042344420 hasConcept C41008148 @default.
- W3042344420 hasConcept C54355233 @default.
- W3042344420 hasConcept C55493867 @default.
- W3042344420 hasConcept C86803240 @default.
- W3042344420 hasConceptScore W3042344420C111919701 @default.
- W3042344420 hasConceptScore W3042344420C114614502 @default.
- W3042344420 hasConceptScore W3042344420C134306372 @default.
- W3042344420 hasConceptScore W3042344420C161790260 @default.
- W3042344420 hasConceptScore W3042344420C185592680 @default.
- W3042344420 hasConceptScore W3042344420C190470478 @default.
- W3042344420 hasConceptScore W3042344420C21550011 @default.
- W3042344420 hasConceptScore W3042344420C2524010 @default.
- W3042344420 hasConceptScore W3042344420C2776196297 @default.
- W3042344420 hasConceptScore W3042344420C2776416436 @default.
- W3042344420 hasConceptScore W3042344420C2778112365 @default.
- W3042344420 hasConceptScore W3042344420C2778572836 @default.
- W3042344420 hasConceptScore W3042344420C33676613 @default.
- W3042344420 hasConceptScore W3042344420C33923547 @default.
- W3042344420 hasConceptScore W3042344420C34388435 @default.
- W3042344420 hasConceptScore W3042344420C37914503 @default.
- W3042344420 hasConceptScore W3042344420C41008148 @default.
- W3042344420 hasConceptScore W3042344420C54355233 @default.
- W3042344420 hasConceptScore W3042344420C55493867 @default.
- W3042344420 hasConceptScore W3042344420C86803240 @default.
- W3042344420 hasLocation W30423444201 @default.
- W3042344420 hasOpenAccess W3042344420 @default.
- W3042344420 hasPrimaryLocation W30423444201 @default.
- W3042344420 hasRelatedWork W1628642276 @default.
- W3042344420 hasRelatedWork W1977628371 @default.
- W3042344420 hasRelatedWork W1982424758 @default.
- W3042344420 hasRelatedWork W1986433817 @default.
- W3042344420 hasRelatedWork W2009917512 @default.
- W3042344420 hasRelatedWork W2017534378 @default.
- W3042344420 hasRelatedWork W2053537689 @default.
- W3042344420 hasRelatedWork W2084772249 @default.
- W3042344420 hasRelatedWork W2181647213 @default.
- W3042344420 hasRelatedWork W2222715109 @default.
- W3042344420 hasRelatedWork W2267818665 @default.
- W3042344420 hasRelatedWork W2547827271 @default.
- W3042344420 hasRelatedWork W2786418440 @default.
- W3042344420 hasRelatedWork W2892234305 @default.
- W3042344420 hasRelatedWork W2951967769 @default.
- W3042344420 hasRelatedWork W2952605707 @default.
- W3042344420 hasRelatedWork W2962968627 @default.
- W3042344420 hasRelatedWork W3156045441 @default.
- W3042344420 hasRelatedWork W3203068541 @default.
- W3042344420 hasRelatedWork W3213882909 @default.
- W3042344420 isParatext "false" @default.
- W3042344420 isRetracted "false" @default.
- W3042344420 magId "3042344420" @default.
- W3042344420 workType "article" @default.