7 citations · 10 across the 10 of their papers we have counts for
14 papers
The five-color hypercube Adinkra and the Jacobian of a generalized Fermat curve
Amanda E. Francis, Ursula A. Whitcher
Adinkras are highly structured graphs developed to study 1-dimensional supersymmetry algebras. A cyclic ordering of the edge colors of an Adinkra, or rainbow, determines a Riemann…
Semisimple FJRW theory of polynomials with two variables
Amanda Francis, Weiqiang He, Yefeng Shen
We study the Dubrovin-Frobenius manifold in the Fan-Jarvis-Ruan-Witten theory of Landau-Ginzburg pairs $(W, \<J\>)$, where is an invertible nondegenerate quasihomogeneous polyn…
Algorithmic techniques for finding resistance distances on structured graphs
E. J. Evans, A. E. Francis
In this paper we give a survey of methods used to calculate values of resistance distance (also known as effective resistance) in graphs. Resistance distance has played a prominent…
Spanning 2-Forests and Resistance Distance in 2-Connected Graphs
Wayne Barrett, Emily J. Evans, Amanda E. Francis +2
A spanning 2-forest separating vertices and of an undirected connected graph is a spanning forest with 2 components such that and are in distinct components. Aside…
General Equitable Decompositions for Graphs with Symmetries
Amanda Francis, Dallas Smith, Benjamin Webb
Using the theory of equitable decompositions it is possible to decompose a matrix appropriately associated with a given graph. The result is a collection of smaller matrices wh…
Resistance distance in straight linear 2-trees
Wayne Barrett, Emily J. Evans, Amanda E. Francis
We consider the graph with vertex set and if and only if . We call the straight linear 2-tree on $n…