1 citations · 1 across the 4 of their papers we have counts for
4 papers
The generalized Zagreb index for non-plane and plane recursive trees
Qunqiang Feng, Michael Fuchs, Tsan-Cheng Yu
The Zagreb index, which is defined as the sum of squares of degrees of the nodes of a tree, was studied in previous works by martingale techniques for random non-plane recursive tr…
The index of galled trees
François Bienvenu, Jean-Jil Duchamps, Michael Fuchs +1
In recent years, there has been an effort to extend the classical notion of phylogenetic balance, originally defined in the context of trees, to networks. One of the most natural w…
Limit Theorems for Patterns in Ranked Tree-Child Networks
Michael Fuchs, Hexuan Liu, Tsan-Cheng Yu
We prove limit laws for the number of occurrences of a pattern on the fringe of a ranked tree-child network which is picked uniformly at random. Our results extend the limit law fo…
Asymptotic Normality for the Size of Graph Tries built from M-ary Tree Labelings
Michael Fuchs, Tsan-Cheng Yu
Graph tries are a new and interesting data structure proposed by Jacquet in 2014. They generalize the classical trie data structure which has found many applications in computer sc…