7 papers
Spectral Conditions for the Bipancyclic Bipartite Graphs
Rao Li
Let be a bipartite graph with two vertex partition subsets and . is said to be balanced if . is said to be bipancyclic if it contains cycl…
The Matching Number and Hamiltonicity of Graphs
Rao Li
The matching number of a graph G is the size of a maximum matching in the graph. In this note, we present a sufficient condition involving the matching number for the Hamiltonicity…
Dueling Bandits with Qualitative Feedback
Liyuan Xu, Junya Honda, Masashi Sugiyama
We formulate and study a novel multi-armed bandit problem called the qualitative dueling bandit (QDB) problem, where an agent observes not numeric but qualitative feedback by pulli…
Infinite-dimensional reductive monoids associated to highest weight representations of Kac-Moody groups
Zhenheng Li, Zhuo Li, Claus Mokler
Starting with a highest weight representation of a Kac-Moody group over the complex numbers, we construct a monoid whose unit group is the image of the Kac-Moody group under the re…
On 3-Lie algebras with abelian ideals and subalgebras
RuiPu Bai, Lihong Zhang, Yong Wu +1
In this paper, we study the maximal dimension of abelian subalgebras and the maximal dimension of abelian ideals of m-dimensional 3-Lie algebras over an algebraic…
Conjugacy Classes of Renner Monoids
Zhuo Li, Zhenheng Li, You'an Cao
In this paper we describe conjugacy classes of a Renner monoid with unit group , the Weyl group. We show that every element in is conjugate to an element where $u\i…