Matches in SemOpenAlex for { <https://semopenalex.org/work/W3033206384> ?p ?o ?g. }
- W3033206384 abstract "Relative $t$-designs in the $n$-dimensional hypercube $mathcal{Q}_n$ are equivalent to weighted regular $t$-wise balanced designs, which generalize combinatorial $t$-$(n,k,lambda)$ designs by allowing multiple block sizes as well as weights. Partly motivated by the recent study on tight Euclidean $t$-designs on two concentric spheres, in this paper we discuss tight relative $t$-designs in $mathcal{Q}_n$ supported on two shells. We show under a mild condition that such a relative $t$-design induces the structure of a coherent configuration with two fibers. Moreover, from this structure we deduce that a polynomial from the family of the Hahn hypergeometric orthogonal polynomials must have only integral simple zeros. The Terwilliger algebra is the main tool to establish these results. By explicitly evaluating the behavior of the zeros of the Hahn polynomials when they degenerate to the Hermite polynomials under an appropriate limit process, we prove a theorem which gives a partial evidence that the non-trivial tight relative $t$-designs in $mathcal{Q}_n$ supported on two shells are rare for large $t$." @default.
- W3033206384 created "2020-06-12" @default.
- W3033206384 creator A5008263517 @default.
- W3033206384 creator A5053246639 @default.
- W3033206384 creator A5064255284 @default.
- W3033206384 date "2020-06-03" @default.
- W3033206384 modified "2023-09-27" @default.
- W3033206384 title "Tight relative $t$-designs on two shells in hypercubes, and Hahn and Hermite polynomials" @default.
- W3033206384 cites W109405981 @default.
- W3033206384 cites W120124575 @default.
- W3033206384 cites W1244770280 @default.
- W3033206384 cites W1480319329 @default.
- W3033206384 cites W1540816429 @default.
- W3033206384 cites W1601665458 @default.
- W3033206384 cites W1654411218 @default.
- W3033206384 cites W1757574476 @default.
- W3033206384 cites W1934698069 @default.
- W3033206384 cites W1976775387 @default.
- W3033206384 cites W1985627461 @default.
- W3033206384 cites W2000998728 @default.
- W3033206384 cites W2007340577 @default.
- W3033206384 cites W2018701021 @default.
- W3033206384 cites W2020342788 @default.
- W3033206384 cites W2034613357 @default.
- W3033206384 cites W2034702895 @default.
- W3033206384 cites W2039992758 @default.
- W3033206384 cites W2041089572 @default.
- W3033206384 cites W2044519792 @default.
- W3033206384 cites W2049098250 @default.
- W3033206384 cites W2051258063 @default.
- W3033206384 cites W2055963617 @default.
- W3033206384 cites W2075804573 @default.
- W3033206384 cites W2080893579 @default.
- W3033206384 cites W2104385491 @default.
- W3033206384 cites W2138033161 @default.
- W3033206384 cites W2164356643 @default.
- W3033206384 cites W2171569252 @default.
- W3033206384 cites W2194118356 @default.
- W3033206384 cites W2463372810 @default.
- W3033206384 cites W2557794481 @default.
- W3033206384 cites W2584020404 @default.
- W3033206384 cites W2728603849 @default.
- W3033206384 cites W2808064391 @default.
- W3033206384 cites W2885261727 @default.
- W3033206384 cites W2945090374 @default.
- W3033206384 cites W2963204220 @default.
- W3033206384 cites W2971173727 @default.
- W3033206384 cites W3000276910 @default.
- W3033206384 cites W3021878526 @default.
- W3033206384 cites W3038165843 @default.
- W3033206384 cites W1985903051 @default.
- W3033206384 cites W2017788627 @default.
- W3033206384 cites W2082508231 @default.
- W3033206384 hasPublicationYear "2020" @default.
- W3033206384 type Work @default.
- W3033206384 sameAs 3033206384 @default.
- W3033206384 citedByCount "1" @default.
- W3033206384 countsByYear W30332063842021 @default.
- W3033206384 crossrefType "posted-content" @default.
- W3033206384 hasAuthorship W3033206384A5008263517 @default.
- W3033206384 hasAuthorship W3033206384A5053246639 @default.
- W3033206384 hasAuthorship W3033206384A5064255284 @default.
- W3033206384 hasConcept C10628310 @default.
- W3033206384 hasConcept C114614502 @default.
- W3033206384 hasConcept C118615104 @default.
- W3033206384 hasConcept C134306372 @default.
- W3033206384 hasConcept C201362023 @default.
- W3033206384 hasConcept C202444582 @default.
- W3033206384 hasConcept C33923547 @default.
- W3033206384 hasConcept C50820777 @default.
- W3033206384 hasConcept C90119067 @default.
- W3033206384 hasConceptScore W3033206384C10628310 @default.
- W3033206384 hasConceptScore W3033206384C114614502 @default.
- W3033206384 hasConceptScore W3033206384C118615104 @default.
- W3033206384 hasConceptScore W3033206384C134306372 @default.
- W3033206384 hasConceptScore W3033206384C201362023 @default.
- W3033206384 hasConceptScore W3033206384C202444582 @default.
- W3033206384 hasConceptScore W3033206384C33923547 @default.
- W3033206384 hasConceptScore W3033206384C50820777 @default.
- W3033206384 hasConceptScore W3033206384C90119067 @default.
- W3033206384 hasLocation W30332063841 @default.
- W3033206384 hasOpenAccess W3033206384 @default.
- W3033206384 hasPrimaryLocation W30332063841 @default.
- W3033206384 hasRelatedWork W1976667787 @default.
- W3033206384 hasRelatedWork W1977166565 @default.
- W3033206384 hasRelatedWork W1989566105 @default.
- W3033206384 hasRelatedWork W2042275473 @default.
- W3033206384 hasRelatedWork W2174889442 @default.
- W3033206384 hasRelatedWork W2274238085 @default.
- W3033206384 hasRelatedWork W2285394510 @default.
- W3033206384 hasRelatedWork W2544458659 @default.
- W3033206384 hasRelatedWork W2757098306 @default.
- W3033206384 hasRelatedWork W2781609394 @default.
- W3033206384 hasRelatedWork W279495 @default.
- W3033206384 hasRelatedWork W2907622642 @default.
- W3033206384 hasRelatedWork W2912257391 @default.
- W3033206384 hasRelatedWork W2948349556 @default.
- W3033206384 hasRelatedWork W2949417881 @default.
- W3033206384 hasRelatedWork W2949762310 @default.
- W3033206384 hasRelatedWork W2951141024 @default.