Clique-path Ramsey number ( $r (K_{s}, P_{t})$ )

If

P_{t}

denotes a path of length

t

, then

r (K_{s}, P_{t}) = (s - 1) t + 1

for

s \geq 2

and

t \geq 1

.

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Past exam of the mathematics course of the University of Cambridge / 2023 / ii / Paper 3 / 17H / d / Solution

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