Graph immersions

A submodular measure and approximate Gomory–Hu theorem for packing odd trails

This paper, published after I left academia, explores the "perimeter" measure that plays a key role in my doctoral research.

Odd disjoint trails and totally odd graph immersions

I have succesfully defended my PhD thesis! It's "packed" with results on graph immersions with parity restrictions, and "covers" odd edge-connectivity, totally odd clique immersions, and a new submodular measure that's intimately connected with both.

Weak duality for packing edge-disjoint odd trails

This paper, coauthored with my supervisor Bojan Mohar and colleague Hehui Wu, was the first entry in my doctoral research into graph immersions with parity restrictions.