10 citations · 11 across the 5 of their papers we have counts for
5 papers
Symmetric colorings of polypolyhedra
Sarah-Marie Belcastro, Thomas C. Hull
Polypolyhedra (after R. Lang) are compounds of edge-transitive 1-skeleta. There are 54 topologically different polypolyhedra, and each has icosidodecahedral, cuboctahedral, or tetr…
Triangle-free Uniquely 3-Edge Colorable Cubic Graphs
Sarah-Marie Belcastro, Ruth Haas
This paper presents infinitely many new examples of triangle-free uniquely 3-edge colorable cubic graphs. The only such graph previously known was given by Tutte in 1976.
Counting edge-Kempe-equivalence classes for 3-edge-colored cubic graphs
sarah-marie belcastro, Ruth Haas
Two edge colorings of a graph are {\em edge-Kempe equivalent} if one can be obtained from the other by a series of edge-Kempe switches. This work gives some results for the number…
Grünbaum Colorings of Toroidal Triangulations
Michael O. Albertson, Hannah Alpert, sarah-marie belcastro +1
We prove that if G is a triangulation of the torus and χ(G) \neq 5, then there is a 3-coloring of the edges of G so that the edges bounding every face are assigned three different…
Picard lattices of families of K3 surfaces
Sarah-Marie Belcastro
Using toric geometry, lattice theory, and elliptic surface techniques, we compute the Picard Lattice of certain K3 surfaces. In particular, we examine the generic member of each of…