The Anti-Ramsey Number For Paths

Speaker:

Long-Tu Yuan (East China Normal University)

Time:

  • 13:00 – 14:00 (Time in Beijing)
  • March 18, 2021 (Thursday)

Address:

Online meeting

Host:

SCMS (上海数学中心)

VooVmeeting:

ID: 830 305 307 Password: 121323

Link:

https://zoom.com.cn/j/8303053077

Abstract:

A subgraph of an edge-colored graph is rainbow if all of its edges have different colors. For a given graph 𝐻, the anti-Ramsey number AR(𝑛,𝐻) of 𝐻 is the maximum number of colors in an edge-colored 𝐾𝑛 such that 𝐾𝑛 does not contain a copy of rainbow 𝐻. We determine the exactly anti-Ramsey number for paths. This confirms aconjecture posed by Erdös, Simonovits and Sós in 1970s.

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