arXiv subjects

Yen-Chi Roger Lin

Publications and source records attributed to Yen-Chi Roger Lin.

2 recordsLinked to original sources

arXiv2024

A Recursive Relation for Bipartition Numbers

We establish a recursive relation for the bipartition number $p_2(n)$ which might be regarded as an analogue of Euler's recursive relation for the partition number $p(n)$. Two proofs of the main result are proved in this article. The first one is using the generating function, and the second one is using combinatoric objects (called ``symbols'') created by Lusztig for studying representation theory of finite classical groups.

math.CO↗

arXiv2020

The Lemmens-Seidel conjecture and forbidden subgraphs

In this paper we show that the conjecture of Lemmens and Seidel of 1973 for systems of equiangular lines with common angle $\arccos (1/5)$ is true. Our main tool is forbidden subgraphs for smallest Seidel eigenvalue $-5$.

math.CO↗