David A. Pike

activity

20122023

most citedConnectivity in Hypergraphs

21 citations · 47 across the 15 of their papers we have counts for

collaborators

Showing 2018Show all

2 papers · 1 filter

math.CO2018★ 4 cited

A Perfect One-Factorisation of $K_{56}$

David A. Pike

In 1963, Anton Kotzig conjectured that for each $n \geq 2$ the complete graph $K_{2 n}$ has a perfect one-factorisation (i.e., a decomposition into perfect matchings such that each…

math.CO2018

Decomposable twofold triple systems with non-Hamiltonian 2-block intersection graphs

Rosalind A. Cameron, David A. Pike

The 2-block intersection graph (2-BIG) of a twofold triple system (TTS) is the graph whose vertex set is composed of the blocks of the TTS and two vertices are joined by an edge if…

A Perfect One-Factorisation of K56​

Decomposable twofold triple systems with non-Hamiltonian 2-block intersection graphs

A Perfect One-Factorisation of $K_{56}$