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arxiv: 1308.4431 · v1 · pith:GZSWJIPOnew · submitted 2013-08-20 · 🧮 math.CO · cs.DM

Interval edge-colorings of K_(1,m,n)

classification 🧮 math.CO cs.DM
keywords intervalaffirmativeconjectureedge-colorableedge-coloringsnoteonlypetrosyan
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In this note we prove that K_{1,m,n} is interval edge-colorable if and only if gcd(m+1,n+1)=1. It settles in the affirmative a conjecture of Petrosyan.

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