15 citations · 15 across the 3 of their papers we have counts for
3 papers
math.CO2004★ 15 cited
A note on Ramsey Numbers for Books
Vladimir Nikiforov, Cecil Rousseau
A book of size N is the union of N triangles sharing a common edge. We show that the Ramsey number of a book of size N vs. a book of size M equals 2N+3 for all N>(10^6)M. Our proof…
math.CO2004
Book Ramsey numbers I
Vladimir Nikiforov, Cecil Rousseau
A book of size q is the union of q triangles sharing a common edge. We find the exact Ramsey number of books of size q versus books of size p when p<q/6-o(q).
math.CO2004
Large generalized books are p-good
Vladimir Nikiforov, Cecil Rousseau
An r-book of size q is a union of q (r+1)-cliques sharing a common r-clique. We find exactly the Ramsey number of a p-clique versus r-books of sufficiently large size. Furthermore,…