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Powers of Hamilton Cycles of High Discrepancy are Unavoidable

Powers of Hamilton Cycles of High Discrepancy are Unavoidable

The PoĢsa-Seymour conjecture asserts that every graph on n vertices with minimum degree at least (1āˆ’1/(r +1))n contains the r-th power of a Hamilton cycle. KomloĢs, SaĢrkoĢˆzy and SzemereĢdi famously proved the conjecture for large n. The notion of discrepancy appears in many areas of mathematics, including graph theory. In ā€¦