Zobrazeno 1 - 10
of 805
pro vyhledávání: '"MARTIN, WILLIAM J."'
We show that a "mate'' $B$ of a set $A$ in a near-factorization $(A,B)$ of a finite group $G$ is unique. Further, we describe how to compute the mate $B$ very efficiently using an explicit formula for $B$. We use this approach to give an alternate pr
Externí odkaz:
http://arxiv.org/abs/2411.15890
Autor:
Lansdown, Jesse, Martin, William J.
Delsarte theory, more specifically the study of codes and designs in association schemes, has proved invaluable in studying an increasing assortment of association schemes in recent years. Tools motivated by the study of error-correcting codes in the
Externí odkaz:
http://arxiv.org/abs/2406.06991
A $k$-dispersed labelling of a graph $G$ on $n$ vertices is a labelling of the vertices of $G$ by the integers $1, \dots , n$ such that $d(i,i+1) \geq k$ for $1 \leq i \leq n-1$. $DL(G)$ denotes the maximum value of $k$ such that $G$ has a $k$-disper
Externí odkaz:
http://arxiv.org/abs/2301.11713
Autor:
Chan, Ada, Martin, William J.
We show that any two Hadamard graphs on the same number of vertices are quantum isomorphic. This follows from a more general recipe for showing quantum isomorphism of graphs arising from certain association schemes. The main result is built from thre
Externí odkaz:
http://arxiv.org/abs/2209.04581
Autor:
Senanayaka, Dulmi, Zeng, Danyun, Alishiri, Sahar, Martin, William J., Moore, Khadijah I., Patel, Roshni, Luka, Zigmund, Hirschi, Alexander, Reiter, Nicholas J.
Publikováno v:
In Journal of Biological Chemistry September 2024 300(9)
Autor:
Lorenz, Natalie, McGregor, Reuben, Whitcombe, Alana L., Sharma, Prachi, Ramiah, Ciara, Middleton, Francis, Baker, Michael G., Martin, William J., Wilson, Nigel J., Chung, Amy W., Moreland, Nicole J.
Publikováno v:
In iScience 16 August 2024 27(8)
We give a tight bound for the triple intersection numbers of Paley graphs. In particular, we show that any three vertices have a common neighbor in Paley graphs of order larger than 25.
Comment: 3 pages
Comment: 3 pages
Externí odkaz:
http://arxiv.org/abs/2109.03654