5 papers
Graphs of Linear Growth have Bounded Treewidth
Rutger Campbell, Marc Distel, J. Pascal Gollin +5
A graph class has linear growth if, for each graph and every positive integer , every subgraph of with radius at most contains v…
Counting cliques in -planar graphs
J. Pascal Gollin, Kevin Hendrey, Abhishek Methuku +2
The problem of maximising the number of cliques among -vertex graphs from various graph classes has received considerable attention. We investigate this problem for the class of…
Covering radius in the Hamming permutation space
Kevin Hendrey, Ian M. Wanless
Let denote the set of permutations of . The function is defined to be the minimum size of a subset with the pro…
Defective and Clustered Choosability of Sparse Graphs
Kevin Hendrey, David R. Wood
An (improper) graph colouring has "defect" if each monochromatic subgraph has maximum degree at most , and has "clustering" if each monochromatic component has at most $…
Sparse graphs of high gonality
Kevin Hendrey
By considering graphs as discrete analogues of Riemann surfaces, Baker and Norine (Adv. Math. 2007) developed a concept of linear systems of divisors for graphs. Building on this i…