4 citations · 7 across the 4 of their papers we have counts for
4 papers
Exponents of Jacobians of Graphs and Regular Matroids
Hahn Lheem, Deyuan Li, Carl Joshua Quines +1
Let be a finite undirected multigraph with no self-loops. The Jacobian is a finite abelian group associated with whose cardinality is equal to the n…
Expected capture time and throttling number for cop versus gambler
Jesse Geneson, Carl Joshua Quines, Espen Slettnes +1
We bound expected capture time and throttling number for the cop versus gambler game on a connected graph with vertices, a variant of the cop versus robber game that is played…
Variations of the cop and robber game on graphs
Espen Slettnes, Carl Joshua Quines, Shen-Fu Tsai +1
We prove new theoretical results about several variations of the cop and robber game on graphs. First, we consider a variation of the cop and robber game which is more symmetric ca…
Bounds on metric dimension for families of planar graphs
Carl Joshua Quines, Michael Sun
The concept of metric dimension has applications in a variety of fields, such as chemistry, robotic navigation, and combinatorial optimization. We show bounds for graphs with v…