36 citations · 73 across the 19 of their papers we have counts for
7 papers · 1 filter
Several topological indices of random caterpillars
Panpan Zhang, Xiaojing Wang
In chemical graph theory, caterpillar trees have been an appealing model to represent the molecular structures of benzenoid hydrocarbon. Meanwhile, topological index has been thoug…
The degree Gini index of several classes of random trees and their poissonized counterparts---an evidence for a duality theory
Carly Domicolo, Panpan Zhang, Hosam Mahmoud
There is an unproven duality theory hypothesizing that random discrete trees and their poissonized embeddings in continuous time share fundamental properties. We give additional ev…
The Zagreb index of several random models
Panpan Zhang
In this article, we investigate the Zagreb index, a kind of graph-based topological index, of several random networks, including a class of networks extended from random recursive…
Characterizing several properties of high-dimensional random Apollonian networks
Panpan Zhang
In this article, we investigate several properties of high-dimensional random Apollonian networks (HDRANs), including two types of degree profiles, the small-world effect (clusteri…
On several properties of plane-oriented recursive trees
Panpan Zhang
In this paper, several properties of plain-oriented recursive trees (PORTs) are uncovered. Specifically, we investigate the degree profile of a PORT by determining the exact probab…
Characterizations of asymptotic distributions of continuous-time Pólya processes
Chen Chen, Panpan Zhang
We propose an elementary but effective approach to studying a general class of Poissonized tenable and balanced urns on two colors. We characterize the asymptotic behavior of the p…
On nodes of small degrees and degree profile in preferential dynamic attachment circuits
Panpan Zhang, Hosam Mahmoud
We investigate the joint distribution of nodes of small degrees and the degree profile in preferential dynamic attachment circuits. In particular, we study the joint asymptotic dis…