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Decomposition of Complete Graphs into Arbitrary Trees and Hamiltonian Cycles

Murugan Varadhan ⟨murugan.v@vit.ac.in⟩ Icon: profile_verified

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.

Scheduled for: 2025-08-14 09:30 AM: Graphs Session Talk #5.3 in HUMB 146

Icon: video Webinar

Status: Accepted

Collection: Topological Graph Theory

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