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Degree Condition for Subdivisions of Unicyclic Graphs
Authors:Ch. Sobhan Babu  Ajit A. Diwan
Affiliation:(1) Department of Computer Science and Engineering, Indian Institute of Technology Bombay, Powai, Mumbai, 400076, India
Abstract:If H is any graph of order n with k non-trivial components, each of which contains at most one cycle, then every graph of order at least n and minimum degree at least n − k contains a subdivision of H such that only edges contained in a cycle in H are subdivided.
Keywords:Degree condition  subdivision  unicyclic graph
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