The lattice of patterns induced by a positive cone of functions
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- by D. J. Hartfiel and C. J. Maxson
- Trans. Amer. Math. Soc. 232 (1977), 43-59
- DOI: https://doi.org/10.1090/S0002-9947-1977-0469837-9
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Abstract:
This paper contains a study of a special type of lattice which arises by considering the supports of functions in a positive cone of functions. It is shown that many known combinatorial structures provide examples of such a lattice. The basic problem addressed in the paper is that of determining the structure of this lattice.References
- D. J. Hartfiel and J. W. Spellmann, A role for doubly stochastic matrices in graph theory, Proc. Amer. Math. Soc. 36 (1972), 389–394. MR 316296, DOI 10.1090/S0002-9939-1972-0316296-3
- Richard Sinkhorn and Paul Knopp, Problems involving diagonal products in nonnegative matrices, Trans. Amer. Math. Soc. 136 (1969), 67–75. MR 233830, DOI 10.1090/S0002-9947-1969-0233830-7
Bibliographic Information
- © Copyright 1977 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 232 (1977), 43-59
- MSC: Primary 06A20; Secondary 06A65
- DOI: https://doi.org/10.1090/S0002-9947-1977-0469837-9
- MathSciNet review: 0469837