Combinatorics Seminar

When: Sunday, October 25, 10am Where: Schreiber 309 Speaker: Dan Hefetz, Hebrew University Title: On degree anti-Ramsey numbers

Abstract:

The degree anti-Ramsey number AR_d(H) of a graph H is the smallest integer k for which there exists a graph G with maximum degree at most k such that any proper edge colouring of G yields a rainbow copy of H. In this talk I will present a general upper bound on degree anti-Ramsey numbers, determine the precise value of the degree anti-Ramsey number of any forest, and prove an upper bound on the degree anti-Ramsey number of cycles, which is best possible up to a multiplicative factor of 2.

Based on joint work with Shoni Gilboa.