most citedFinding any given 2-factor in sparse pseudorandom graphs efficiently

4 citations · 4 across the 2 of their papers we have counts for

collaborators

10 papers

math.CO2026

A canonical Ramsey theorem for even cycles in random graphs

José D. Alvarado, Y. Kohayakawa, Patrick Morris +1

The celebrated canonical Ramsey theorem of Erdős and Rado implies that for , any colouring of the edges of with sufficiently large gives a copy of…

math.CO20264 cited

Finding any given 2-factor in sparse pseudorandom graphs efficiently

Jie Han, Yoshiharu Kohayakawa, Patrick Morris +1

Given an -vertex pseudorandom graph and an -vertex graph with maximum degree at most two, we wish to find a copy of in , i.e.\ an embedding $φ\colon V(H)\to V…

math.CO2026

Clique-factors in sparse pseudorandom graphs

Jie Han, Yoshiharu Kohayakawa, Patrick Morris +1

We prove that for any there exist constants and such that any -regular -vertex graph with and second largest eigenvalue in absolute…

math.CO2026

A sparse canonical van der Waerden theorem

José D. Alvarado, Yoshiharu Kohayakawa, Patrick Morris +2

The canonical van der Waerden theorem asserts that, for sufficiently large , every colouring of contains either a monochromatic or a rainbow arithmetic progression of leng…

math.CO2026

The multicolor induced size-Ramsey number of long subdivisions

Ramin Javadi, Yoshiharu Kohayakawa, Meysam Miralaei

For a positive integer and a graph , the -color induced size-Ramsey number is the minimum integer for which there exists a graph wi…

math.CO2026

The Multicolor Size-Ramsey Number of Bipartite Long Subdivisions

Ramin Javadi, Yoshiharu Kohayakawa, Meysam Miralaei

For a positive integer , the -color size-Ramsey number~ of a graph is the minimum number of edges in a graph such that every -edge coloring of $G…