Matches in SemOpenAlex for { <https://semopenalex.org/work/W4297748533> ?p ?o ?g. }
Showing items 1 to 65 of
65
with 100 items per page.
- W4297748533 abstract "Fighting fish were very recently introduced by the authors as combinatorial structures made of square tiles that form two dimensional branching surfaces. A main feature of these fighting fish is that the area of uniform random fish of size $n$ scales like $n^{5/4}$ as opposed to the typical $n^{3/2}$ area behavior of the staircase or direct convex polyominoes that they generalize. In this extended abstract we concentrate on enumerative properties of fighting fish: in particular we provide a new decomposition and we show that the number of fighting fish with $i$ left lower free edges and $j$ right lower free edges is equal to begin{equation*} frac{(2i+j-2)!(2j+i-2)!}{i!j!(2i-1)!(2j-1)!}. end{equation*} These numbers are known to count rooted planar non-separable maps with $i+1$ vertices and $j+1$ faces, or two-stack-sortable permutations with respect to ascending and descending runs, or left ternary trees with respect to vertices with even and odd abscissa. However we have been unable until now to provide any explicit bijection between our fish and such structures. Instead we provide new refined generating series for left ternary trees to prove further equidistribution results." @default.
- W4297748533 created "2022-09-30" @default.
- W4297748533 creator A5002059305 @default.
- W4297748533 creator A5018231504 @default.
- W4297748533 creator A5062285136 @default.
- W4297748533 creator A5091484790 @default.
- W4297748533 date "2016-11-14" @default.
- W4297748533 modified "2023-09-25" @default.
- W4297748533 title "Fighting Fish: enumerative properties" @default.
- W4297748533 doi "https://doi.org/10.48550/arxiv.1611.04625" @default.
- W4297748533 hasPublicationYear "2016" @default.
- W4297748533 type Work @default.
- W4297748533 citedByCount "0" @default.
- W4297748533 crossrefType "posted-content" @default.
- W4297748533 hasAuthorship W4297748533A5002059305 @default.
- W4297748533 hasAuthorship W4297748533A5018231504 @default.
- W4297748533 hasAuthorship W4297748533A5062285136 @default.
- W4297748533 hasAuthorship W4297748533A5091484790 @default.
- W4297748533 hasBestOaLocation W42977485331 @default.
- W4297748533 hasConcept C112680207 @default.
- W4297748533 hasConcept C114614502 @default.
- W4297748533 hasConcept C118615104 @default.
- W4297748533 hasConcept C134306372 @default.
- W4297748533 hasConcept C199360897 @default.
- W4297748533 hasConcept C24424167 @default.
- W4297748533 hasConcept C2524010 @default.
- W4297748533 hasConcept C2909208804 @default.
- W4297748533 hasConcept C33923547 @default.
- W4297748533 hasConcept C41008148 @default.
- W4297748533 hasConcept C505870484 @default.
- W4297748533 hasConcept C64452783 @default.
- W4297748533 hasConcept C69919132 @default.
- W4297748533 hasConcept C70710897 @default.
- W4297748533 hasConcept C86803240 @default.
- W4297748533 hasConceptScore W4297748533C112680207 @default.
- W4297748533 hasConceptScore W4297748533C114614502 @default.
- W4297748533 hasConceptScore W4297748533C118615104 @default.
- W4297748533 hasConceptScore W4297748533C134306372 @default.
- W4297748533 hasConceptScore W4297748533C199360897 @default.
- W4297748533 hasConceptScore W4297748533C24424167 @default.
- W4297748533 hasConceptScore W4297748533C2524010 @default.
- W4297748533 hasConceptScore W4297748533C2909208804 @default.
- W4297748533 hasConceptScore W4297748533C33923547 @default.
- W4297748533 hasConceptScore W4297748533C41008148 @default.
- W4297748533 hasConceptScore W4297748533C505870484 @default.
- W4297748533 hasConceptScore W4297748533C64452783 @default.
- W4297748533 hasConceptScore W4297748533C69919132 @default.
- W4297748533 hasConceptScore W4297748533C70710897 @default.
- W4297748533 hasConceptScore W4297748533C86803240 @default.
- W4297748533 hasLocation W42977485331 @default.
- W4297748533 hasOpenAccess W4297748533 @default.
- W4297748533 hasPrimaryLocation W42977485331 @default.
- W4297748533 hasRelatedWork W1492442687 @default.
- W4297748533 hasRelatedWork W1984004740 @default.
- W4297748533 hasRelatedWork W1997500179 @default.
- W4297748533 hasRelatedWork W2015104084 @default.
- W4297748533 hasRelatedWork W2027759271 @default.
- W4297748533 hasRelatedWork W2112972328 @default.
- W4297748533 hasRelatedWork W2525804061 @default.
- W4297748533 hasRelatedWork W2529603038 @default.
- W4297748533 hasRelatedWork W2950076364 @default.
- W4297748533 hasRelatedWork W4309976557 @default.
- W4297748533 isParatext "false" @default.
- W4297748533 isRetracted "false" @default.
- W4297748533 workType "article" @default.