2 citations · 6 across the 8 of their papers we have counts for
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Sets of equiangular lines in dimension constructed from
Yen-chi Roger Lin, Akihiro Munemasa, Tetsuji Taniguchi +1
In 2023, Greaves et~al.\ constructed several sets of 57 equiangular lines in dimension 18. Using the concept of switching root introduced by Cao et~al.\ in 2021, these sets of equi…
A Recursive Relation for Bipartition Numbers
Yen-Chi Roger Lin, Shu-Yen Pan
We establish a recursive relation for the bipartition number which might be regarded as an analogue of Euler's recursive relation for the partition number . Two proo…
Stability for hyperplane covers
Shagnik Das, Valjakas Djaljapayan, Yen-chi Roger Lin +1
An almost -cover of the hypercube is a collection of hyperplanes that avoids the origin and covers every other vertex at least times. When is large wit…
The Lemmens-Seidel conjecture and forbidden subgraphs
Meng-Yue Cao, Jack H, Koolen +2
In this paper we show that the conjecture of Lemmens and Seidel of 1973 for systems of equiangular lines with common angle is true. Our main tool is forbidden subgr…
Equiangular lines and the Lemmens-Seidel conjecture
Yen-chi Roger Lin, Wei-Hsuan Yu
In this paper, claims by Lemmens and Seidel in 1973 about equiangular sets of lines with angle are proved by carefully analyzing pillar decompositions, with the aid of the un…
Saturated configuration and new large construction of equiangular lines
Yen-chi Roger Lin, Wei-Hsuan Yu
A set of lines through the origin in Euclidean space is called equiangular when any pair of lines from the set intersects with each other at a common angle. We study the maximum si…
Stirling permutations, marked permutations and Stirling derangements
Guan-Huei Duh, Yen-chi Roger Lin, Shi-Mei Ma +1
In this paper we introduce the definition of marked permutations. We first present a bijection between Stirling permutations and marked permutations. We then present an involution…
Asymptotic Formula for Symmetric Involutions
Yen-chi R. Lin
We examine the exponential generating function for the number of symmetric involutions (A000898 in OEIS) and point out that Robinson's asymptotic formula for its coefficients is in…