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pro vyhledávání: '"Tony W. H. Wong"'
Publikováno v:
International Journal of Number Theory. 19:655-666
Let [Formula: see text] be a positive integer and let [Formula: see text] be the set of positive integers less than [Formula: see text] that are relatively prime to [Formula: see text]. If [Formula: see text] can be partitioned into two subsets of eq
Publikováno v:
Mathematical Research for Blockchain Economy ISBN: 9783031186783
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::04ba6fbb6383850652515fec1a0f414a
https://doi.org/10.1007/978-3-031-18679-0_13
https://doi.org/10.1007/978-3-031-18679-0_13
Publikováno v:
Discrete Applied Mathematics. 288:74-86
Alice and Bob take turns to collect chips in the following manner. In each turn, Alice tosses a fair coin, which decides whether she collects a or b chips, where a and b are positive integers. If Alice collects a chips, then Bob collects b chips, and
Autor:
Tony W. H. Wong, Ziyu Liu, Ann Palma, Barbara Maldonado, Hongkwon V. Yi, Adam Claman, Joshua Harrington, Byungchul Cha, Alexander Miller
Publikováno v:
International Journal of Number Theory. 15:1731-1744
An ordered triple $(s,p,n)$ is called admissible if there exist two different multisets $X=\{x_1,x_2,\dotsc,x_n\}$ and $Y=\{y_1,y_2,\dotsc,y_n\}$ such that $X$ and $Y$ share the same sum $s$, the same product $p$, and the same size $n$. We first coun
Autor:
Tony W. H. Wong, Joshua Harrington
Publikováno v:
Discrete Mathematics. 343:111670
A positive integer n is a super totient number if the set of positive integers less than n and relatively prime to n can be partitioned into two sets of equal sum. In this article, we give a complete classification of super totient numbers. We also u
Autor:
Tony W. H. Wong
Publikováno v:
Journal of Combinatorial Theory, Series A. 124:97-113
Let G be a subgraph of a complete bipartite graph K"n","n. Let N(G) be a 0-1 incidence matrix with edges of K"n","n against images of G under the automorphism group of K"n","n. A diagonal form of N(G) is found for every G, and the question as to whet
Autor:
Tony W. H. Wong, Richard M. Wilson
Publikováno v:
Electronic Notes in Discrete Mathematics. 38:825-828
We consider integer matrices Nt whose rows are indexed by the t-subsets of an n-set and whose columns are all distinct images of a particular column under the symmetric group Sn. Examples include matrices in the association algebras of the Johnson sc
Autor:
Edward S.T. Fan, Tony W. H. Wong
Given an ordered triple of positive integers ( n , r , b ) , where 1 ≤ b ≤ n r , does there exist a matrix of size r × n with exactly b invertible submatrices of size r × r ? Such a matrix is called an ( n , r , b ) -matrix. This question is a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::404eae73c99635124216f634754c4f4f
http://arxiv.org/abs/1402.6048
http://arxiv.org/abs/1402.6048
Autor:
Richard M. Wilson, Tony W. H. Wong
We consider integer matrices N"t(h) whose rows are indexed by the t-subsets of an n-set and whose columns are all images of a particular column h under the symmetric group S"n. Earlier work has determined a diagonal form for N"t(h) when h has at leas
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1a656db821bdafc31970d495ea6ffd23
https://resolver.caltech.edu/CaltechAUTHORS:20131024-100335878
https://resolver.caltech.edu/CaltechAUTHORS:20131024-100335878
Relative BPS state counts for log Calabi-Yau surface pairs were introduced by Gross-Pandharipande-Siebert and conjectured by the authors to be integers. For toric Del Pezzo surfaces, we provide an arithmetic proof of this conjecture, by relating thes
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bd2817cd74ea8d957854253c2fffc98d
http://arxiv.org/abs/1312.4112
http://arxiv.org/abs/1312.4112