WebApr 1, 2007 · Abstract. Mediterr. j. math. 4 (2007), 109–117 Mediterranean Journal 1660-5446/010109-9, DOI 10.1007/s00009-007-0106-1 c 2007 Birkh¨ auser Verlag Basel/Switzerland of Mathematics R´ edei’s Theorem is a Consequence of its (p, p) Special Case and Haj´ os’ Theorem Kereszt´ ely Corr´ adi and S´ andor Szab´ o Abstract. WebThe Bungart-Grauert theorem is also significant if the Stein manifold is a domain in the complex plane. That's why direct proofs of the special case, in which a continuously trivial, holomorphic cocycle is considered, can be found in literature. Following the Bungart-Grauert theorem mentioned above, such a cocycle is also holomorphically ...
(PDF) A new proof of Rédei
WebIn this paper, we show that the triple symbol [−p1,p2,p3] [ − p 1, p 2, p 3] for certain prime numbers p1,p2 p 1, p 2 and p3 p 3 can be expressed as a Fourier coefficient of a modular form of weight one. For this, we employ Hecke's theory on theta series associated to binary quadratic forms and realize an explicit version of the theorem by ... WebTheorem (Redei's theorem) Every tournament contains a Hamiltonian path. Proof Let T be a tournament. The proof is done on n, number of vertices in T. For n = 1, this is trivially true. Now, assume that for all tournaments of size n < k, it permits a Hamiltonian path. Now, let n = k. Let T` a subgraph of T generated by removing a vertex w from T. pain on right side hip area
A new proof of Rédei
http://tarupublications.com/journals/jdmsc/full-text/JDMSC-9-1-2006/jdmsc111.pdf WebJan 1, 2009 · Rédei’s proof is long and elaborated. Many other authors have given alternative and much simpler proofs than his (see for instance [31, 39, 41, 56]). Since numerical … WebOn a Generalization of Rédei’s Theorem. In 1970 Rédei and Megyesi proved that a set of p points in AG (2, p ), p prime, is a line, or it determines at least \frac { {p + 3}} {2} directions. In ’81 Lovász and Schrijver characterized the case of equality. Here we prove that the number of determined directions cannot be between \frac { {p ... pain on right side body