On graph-transverse matchings

I have successfully defended my master’s thesis on graph-transverse matching problems! It considers the computational complexity of deciding whether a given graph admits a matching which covers every copy of a fixed tree or cycle.

The thesis is related to my previous work on cycle-transverse matchings and $P_4$-transverse matchings and, roughly speaking, shows that H-transverse matchings are NP-hard to find when $H$ is a big cycle or tree, and tractable when $H$ is a triangle or a small tree.

I am grateful to NSERC for funding my degree with a Alexander Graham Bell Canada Graduate Scholarship, and to my supervisor Jing Huang.