Q-polynomial quotient conjecture for taut distance-regular graphs
Q-polynomial quotient conjecture for taut distance-regular graphs
Let be a taut distance-regular graph with odd diameter . By the source's stated theorem, is an antipodal -cover; hence its antipodal quotient is defined. Q-polynomial quotient conjecture. The antipodal quotient of is -polynomial. This proposes a structural property for the antipodal quotients of taut distance-regular graphs of odd diameter at least ; the source gives no resolution.
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Sources & referencesView supporting material
Primary source
Mark S. MacLean and Paul Terwilliger, “Taut distance-regular graphs and the subconstituent algebra”, arXiv:math/0508399 (2005).
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