The numbers which are traditionally named in honor of Paul Turan were introduced by him as a generalization of a problem he solved in 1941. The general problem of Turan having an extremely simple formulation but being extremely hard to solve, has become one of the most fascinating extremal problems in combinatorics. We describe the present situation and list conjectures which are not so hopeless.
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Univ Fed Rio Grande do Sul, Postgrad Course Med Sci, BR-90035003 Porto Alegre, RS, BrazilUniv Fed Rio Grande do Sul, Postgrad Course Med Sci, BR-90035003 Porto Alegre, RS, Brazil
Dalla Corte, Amauri
de Souza, Carolina F. M.
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HCPA, Med Genet Serv, BR-90035903 Porto Alegre, RS, BrazilUniv Fed Rio Grande do Sul, Postgrad Course Med Sci, BR-90035003 Porto Alegre, RS, Brazil
de Souza, Carolina F. M.
Anes, Mauricio
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HCPA, Med Phys & Radioprotect Serv, BR-90035903 Porto Alegre, RS, BrazilUniv Fed Rio Grande do Sul, Postgrad Course Med Sci, BR-90035003 Porto Alegre, RS, Brazil
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Amer Red Cross, Jerome H Holland Lab, Transmissible Dis Dept, Rockville, MD 20855 USAAmer Red Cross, Jerome H Holland Lab, Transmissible Dis Dept, Rockville, MD 20855 USA
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Bridgewater State Univ, Massachusetts Aggress Reduct Ctr, Bridgewater, MA 02324 USABridgewater State Univ, Massachusetts Aggress Reduct Ctr, Bridgewater, MA 02324 USA
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Pomona Coll, Dept Psychol, Claremont, CA 91711 USAPomona Coll, Dept Psychol, Claremont, CA 91711 USA
Sher, Shlomi
Winkielman, Piotr
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Univ Calif San Diego, Dept Psychol, La Jolla, CA 92093 USA
Univ Social Sci & Humanities, PL-03815 Warsaw, PolandPomona Coll, Dept Psychol, Claremont, CA 91711 USA