17 citations · 20 across the 3 of their papers we have counts for
5 papers · 1 filter
The Average Size of a Connected Vertex Set of a -connected Graph
Andrew Vince
The topic is the average order of a connected induced subgraph of a graph . This generalizes, to graphs in general, the average order of a subtree of a tree. In 1984, Jam…
A Lower Bound on the Average Size of a Connected Vertex Set of a Graph
Andrew Vince
The topic is the average order of a connected induced subgraph of a graph. This generalizes, to graphs in general, the average order of a subtree of a tree. In 1984, Jamison proved…
The Maximum Matroid of a Graph
Meera Sitharam, Andrew Vince
The ground set for all matroids in this paper is the set of all edges of a complete graph. The notion of a {\it maximum matroid for a graph} is introduced, and the existence an…
Symmetry in Sphere-based Assembly Configuration Spaces
Meera Sitharam, Andrew Vince, Menghan Wang +1
Many remarkably robust, rapid and spontaneous self-assembly phenomena in nature can be modeled geometrically starting from a collection of rigid bunches of spheres. This paper high…
Tree Orbits under Permutation Group Action: Algorithm, Enumeration and Application to Viral Assembly
Miklos Bona, Meera Sitharam, Andrew Vince
This paper uses combinatorics and group theory to answer questions about the assembly of icosahedral viral shells. Although the geometric structure of the capsid (shell) is fairly…