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- W2008894377 abstract "Spin models were introduced by V. Jones (Pac. J. Math.137(1989), 311–334) to construct invariants of knots and links. A spin model is defined as a pairS=(X, w) of a fine setXand a functionw: X×X→Csatisfying several axioms. LetΛ=(X, E) be a connected graph with the usual metric ∂: X×X→{0, 1, …, d}, whereddenotes the diameter ofΛ. It is shown that, ifΛhas no 3-cycle, and ifS=(X, t∘∂) is a spin model for a mappingt: {0, 1, …, d}→Csatisfying some conditions (which hold if t is injective), thenΛis an almost bipartite distance-regular graph." @default.
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- W2008894377 date "1996-07-01" @default.
- W2008894377 modified "2023-09-28" @default.
- W2008894377 title "Spin Models on Triangle-Free Connected Graphs" @default.
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- W2008894377 doi "https://doi.org/10.1006/jctb.1996.0046" @default.
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