activity
20062023
most citedBranch-depth: Generalizing tree-depth of graphs

16 citations · 75 across the 37 of their papers we have counts for

collaborators

46 papers

math.CO2023

A short proof of Seymour's 6-flow theorem

Matt DeVos, Kathryn Nurse

We give a compact variation of Seymour's proof that every -edge-connected graph has a nowhere-zero -flow.

math.CO2023

Cycles through two edges in signed graphs

Matt DeVos, Kathryn Nurse

We give a characterization of when a signed graph with a pair of distinguished edges has the property that all cycles containing both and have t…

math.CO2023

Another proof of Seymour's 6-flow theorem

Matt DeVos, Jessica McDonald, Kathryn Nurse

In 1981 Seymour proved his famous 6-flow theorem asserting that every 2-edge-connected graph has a nowhere-zero flow in the group (in fact, he…

math.CO2023

Longer cycles in vertex transitive graphs

Matt DeVos

In 1979 Babai found a clever argument to prove that every connected vertex transitive graph on vertices contains a cycle of length at least . Here we modify hi…

math.CO2021★ 1 cited

There are only a finite number of excluded minors for the class of bicircular matroids

Matt DeVos, Daryl Funk, Luis Goddyn +1

We show that the class of bicircular matroids has only a finite number of excluded minors. Key tools used in our proof include representations of matroids by biased graphs and the…

math.CO2020★ 2 cited

Many flows in the group connectivity setting

Matt DeVos, Rikke Langhede, Bojan Mohar +1

Two well-known results in the world of nowhere-zero flows are Jaeger's 4-flow theorem asserting that every 4-edge-connected graph has a nowhere-zero $\mathbb{Z}_2 \times \mathbb{Z}…