9 citations · 15 across the 9 of their papers we have counts for
12 papers
Sign games on graphs
Liz Blum, Lily Brustkern, Rosetta Hawkins +2
We define the Sign Game as a two-player game played on a simple undirected mathematical graph . The players alternate turns, assigning vertices of either or , and ed…
Tiling generating functions of halved hexagons and quartered hexagons
Tri Lai, Ranjan Rohatgi
We prove exact product formulas for the tiling generating functions of various halved hexagons and quartered hexagons with defects on boundary. Our results generalize the previous…
Total Difference Chromatic Numbers of Graphs
Ranjan Rohatgi, Yufei Zhang
Inspired by graceful labelings and total labelings of graphs, we introduce the idea of total difference labelings. A -total labeling of a graph is an assignment of disti…
Tilings of hexagons with a removed triad of bowties
Mihai Ciucu, Tri Lai, Ranjan Rohatgi
In this paper we consider arbitrary hexagons on the triangular lattice with three arbitrary bowtie-shaped holes, whose centers form an equilateral triangle. The number of lozenge t…
Connectivity at Infinity for the Braid Group of a Complete Bipartite Graph
Kristen Mazur, Jon McCammond, John Meier +1
The graph braid group of a complete bipartite graph is the fundamental group of a configuration space of points on the graph, which is a CAT(0) cube complex. We combine an analysis…
A shuffling theorem for lozenge tilings of doubly-dented hexagons
Tri Lai, Ranjan Rohatgi
MacMahon's theorem on plane partitions yields a simple product formula for tiling number of a hexagon, and Cohn, Larsen and Propp's theorem provides an explicit enumeration for til…