Michael C. Wigal

activity

20172025

most citedLarge cycles in essentially 4-connected graphs

1 citations · 1 across the 15 of their papers we have counts for

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3 papers · 1 filter

math.CO2025

Toward Vu's conjecture

Peter Bradshaw, Abhishek Dhawan, Abhishek Methuku +1

In 2002, Vu conjectured that graphs of maximum degree $Δ$ and maximum codegree at most $ζ Δ$ have chromatic number at most $(ζ + o (1)) Δ$ . Despite its importance, the conjecture has re…

math.CO2025

Turán densities for matroid basis hypergraphs

Jorn van der Pol, Zach Walsh, Michael C. Wigal

Let $U$ be a uniform matroid. For all positive integers $n$ and $r$ with $n \geq r$ , what is the maximum number of bases of an $n$ -element, rank- $r$ matroid without $U$ as a minor?…

math.CO2025

Packing edge disjoint cliques in graphs

József Balogh, Michael C. Wigal

Let $r \geq 3$ be fixed and $G$ be an $n$ -vertex graph. A long-standing conjecture of Győri states that if $e (G) = t_{r - 1} (n) + k$ , where $t_{r - 1} (n)$ denotes the number of edges of…