3 papers
math.CO2024
Coalescing sets preserving cospectrality of graphs arising from block similarity matrices
Sajid Bin Mahamud, Steve Butler, Hannah Graff +5
Coalescing involves gluing one or more rooted graphs onto another graph. Under specific conditions, it is possible to start with cospectral graphs that are coalesced in similar way…
math.CO2023
On the Semigroup of Graph Gonality Sequences
Austin Fessler, David Jensen, Elizabeth Kelsey +1
The th gonality of a graph is the smallest degree of a divisor on the graph with rank . The gonality sequence of a graph is a tropical analogue of the gonality sequence of an…
math.CO2022
Sliding Block Puzzles with a Twist: On Segerman's 15+4 Puzzle
Patrick Garcia, Angela Hanson, David Jensen +1
Segerman's 15+4 puzzle is a hinged version of the classic 15-puzzle, in which the tiles rotate as they slide around. In 1974, Wilson classified the groups of solutions to sliding b…