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20102023
most citedEdge-decompositions of graphs with high minimum degree

64 citations · 285 across the 44 of their papers we have counts for

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Showing 2011Show all

6 papers · 1 filter

math.CO2011★ 1 cited

Minimum codegree threshold for -factors

Allan Lo, Klas Markström

Given hypergraphs H and F, an F-factor in H is a spanning subgraph consisting of vertex disjoint copies of F. Let K_4^3-e denote the 3-uniform hypergraph on 4 vertices with 3 edges…

math.CO2011★ 5 cited

A note on rainbow matchings in properly edge-coloured graphs

Allan Lo

A rainbow matching in an edge-coloured graph is a matching such that its edges have distinct colours. We show that every properly edge-coloured graph with $|G| \ge (9δ(G) -5)/2…

math.CO2011

Rainbow Matchings of size δ(G) in Properly Edge-colored Graphs

Jennifer Diemunsch, Michael Ferrara, Casey Moffatt +2

A {\it rainbow matching} in an edge-colored graph is a matching in which all the edges have distinct colors. Wang asked if there is a function f(δ) such that a properly edge-colore…

math.CO2011★ 5 cited

A multipartite version of the Hajnal-Szemerédi theorem for graphs and hypergraphs

Allan Lo, Klas Markström

A perfect -matching in a graph is a spanning subgraph consisting of vertex disjoint copies of . A classic theorem of Hajnal and Szemerédi states that if is a grap…

math.CO2011★ 21 cited

-factors in hypergraphs via absorption

Allan Lo, Klas Markström

Given integers and a -graph with divisible by , define to be the smallest integer such that every -graph of order $n…

math.CO2011★ 2 cited

Perfect matchings in 3-partite 3-uniform hypergraphs

Allan Lo, Klas Markström

Let be a -partite -uniform hypergraph, i.e. a -uniform hypergraph such that every edge intersects every partition class in exactly one vertex, with each partition clas…