Please note: This PhD seminar will be given in person in DC 1304 and online.
Vijay Subramanya, PhD candidate
David R. Cheriton School of Computer Science
Supervisor: Professor Naomi Nishimura
Under the reconfiguration framework, we consider the various ways that a target graph H is a minor of a host graph G, where a subgraph of G can be transformed into H by means of edge contraction (replacement of both endpoints of an edge by a new vertex adjacent to any vertex adjacent to either endpoint). Equivalently, an H-model of G is a labeling of the vertices of G with the vertices of H, where the contraction of all edges between identically-labeled vertices results in a graph containing representations of all edges in H.
We explore the properties of G and H that result in a connected reconfiguration graph, in which nodes represent H-models and two nodes are adjacent if their corresponding H-models differ by the label of a single vertex of G. Various operations on G or H are shown to preserve connectivity. In addition, we demonstrate properties of graphs G that result in connectivity for the target graphs K_2, K_3, and K_4, including a full characterization of graphs G that result in connectivity for K_2-models, as well as the relationship between connectivity of G and other H-models.
To join this PhD seminar on Zoom, please go to https://uwaterloo.zoom.us/j/93549077377.
200 University Avenue West
Waterloo, ON N2L 3G1