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Topological Graph Theory

Graphs Session #5 #3

Subevent of Graphs Session #5

Central Time (US & Canada)

Starts at: 2025-08-14 09:30AM

Ends at: 2025-08-14 09:55AM

Decomposition of Complete Graphs into Arbitrary Trees and Hamiltonian Cycles

Murugan Varadhan ⟨murugan.v@vit.ac.in⟩

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.

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