2 citations · 3 across the 23 of their papers we have counts for
5 papers · 1 filter
On the Ky Fan -norm of the -matrix of graphs
Zhen Lin, Lianying Miao, Guanglong Yu +1
Let and be the adjacency matrix and the degree diagonal matrix of a graph , respectively. Then is called Laplacian matrix of the graph . Let $G…
Asymptotic Enumeration and Distributional Properties of Galled Networks
Michael Fuchs, Guan-Ru Yu, Louxin Zhang
We show a first-order asymptotics result for the number of galled networks with leaves. This is the first class of phylogenetic networks of {\it large} size for which an asympt…
Expected number of pattern and submap occurrences in random planar maps
Guan-Ru Yu
Drmota and Stufler proved recently that the expected number of pattern occurrences of a given map is asymptotically linear when the number of edges goes to infinity. In this paper…
Universal singular exponents in catalytic variable equations
Michael Drmota, Marc Noy, Guan-Ru Yu
Catalytic equations appear in several combinatorial applications, most notably in the numeration of lattice path and in the enumeration of planar maps. The main purpose of this pap…
On the Asymptotic Growth of the Number of Tree-Child Networks
Michael Fuchs, Guan-Ru Yu, Louxin Zhang
In a recent paper, McDiarmid, Semple, and Welsh (2015) showed that the number of tree-child networks with leaves has the factor in its main asymptotic growth term. In…