Times: 2025 Aug 14 from 09:30AM to 09:55AM (Central Time (US & Canada))
Webinar link: Webinar
Abstract:
Decomposing the complete graph into arbitrary graph is a challenging and di cult problem in graph theory. In in this paper, we prove that the complete graph K4m+1 can be decomposed into 4m + 1 copies of an arbitrary tree with m edges and m copies of a Hamiltonian cycle whenever 4m+1 is a prime.