[HTML][HTML] Counting cliques in 1-planar graphs

JP Gollin, K Hendrey, A Methuku, C Tompkins… - European Journal of …, 2023 - Elsevier
JP Gollin, K Hendrey, A Methuku, C Tompkins, X Zhang
European Journal of Combinatorics, 2023Elsevier
The problem of maximising the number of cliques among n-vertex graphs from various
graph classes has received considerable attention. We investigate this problem for the class
of 1-planar graphs where we determine precisely the maximum total number of cliques as
well as the maximum number of cliques of any fixed size. We also precisely characterise the
extremal graphs for these problems.
The problem of maximising the number of cliques among n-vertex graphs from various graph classes has received considerable attention. We investigate this problem for the class of 1-planar graphs where we determine precisely the maximum total number of cliques as well as the maximum number of cliques of any fixed size. We also precisely characterise the extremal graphs for these problems.
Elsevier
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