Báo cáo toán học: "On some Ramsey and Tur´n-type numbers for paths a and cycles" doc

... 7 On some Ramsey and Tur´an-type numbers for paths and cycles Tomasz Dzido Institute of Mathematics, University of Gda´nsk Wita Stwosza 57, 80-952 Gda´nsk, Poland tdz@math.univ.gda.pl Marek Kubale Algorithms ... is a path of length 3 joining x and y. Now we will show that any path of length at least 3 but shorter than k − 2 which joins x and y can be extended by two additi...

Ngày tải lên: 07/08/2014, 13:21

... On some Ramsey numbers for quadrilaterals Janusz Dybizba´nski Tomasz Dzido Institute of Informatics University of Gda´nsk, Poland jdybiz@inf.ug.edu.pl, tdz@inf.ug.edu.pl Submitted: Mar 31, ... in a 1996 paper by Arste et al. Moreover by using computer methods we improve lower and upper bounds for some other multicolor Ramsey numbers involving q uadrilateral C 4 . We consid...

Ngày tải lên: 08/08/2014, 14:23

... naerz@mail.ru Sergio Falcon Santana: Departamento de Matem ´ aticas, Universidad de Las Palmas de Gran Ca- naria, Campus de Tafira, 35017 Las Palmas de Gran Canaria, Spain E-mail address: sfalcon@dma.ulpgc.es Martin ... (4.8) ON SOME BANACH SPACE CONSTANTS ARISING IN NONLINEAR FIXED POINT AND EIGENVALUE THEORY J ¨ URGEN APPELL, NINA A. ERZAKOVA, SERGIO FALCON SANTANA, AND MARTIN V ¨ ATH...

Ngày tải lên: 23/06/2014, 00:20

...

Ngày tải lên: 05/08/2014, 15:20

...

Ngày tải lên: 05/08/2014, 15:21

... is an integer s 0 such that all these coefficients are in K s 0 . For simplicity of notation assume a 1 =max (a 1 , ,a p ,b 1 , ,b q ). (5) Now choose n 0 larger than the roots of p d and such that ... non-holonomicity [8] can be applied to W (z). The derivatives of W (z) can be written as polynomials in z and W (z)[1], and plugging this representation into (2) yields a non-zero b...

Ngày tải lên: 07/08/2014, 08:22

... Self-Complementary Plane Parti- tions, which are in bijection with a certain class of Non-Intersecting Lattice Paths. 2.1 Alternating Sign Matrices An Alternating Sign Matrix (ASM) is a square matrix made ... obviously a bijection and it leaves invariant all the rows except the last one and the extra one because it is applied at the top of the diagrams as can be seen on figure 10....

Ngày tải lên: 07/08/2014, 21:20

... 451-458. [2] G. E. Andrews, F. J. Dyson, and D. Hickerson, Partitions and in d efinite quadratic forms, Invent. Math. 91 (1988), no. 3, 391-407. [3] G. E. Andrews and D. Hickerson, Ramanujan’s “lost” ... (2004), pages 392-405. [7] N. J. Fine, Basic hypergeometric series and applications, Math. Surveys and Mono- graphs, Vol. 27, Amer. Math. Soc., Providence, 1988. [8] G. Gasper and...

Ngày tải lên: 07/08/2014, 21:21

... Arratia, A. D . Barbour and S. Tavar´e, Logarithmic Combinatorial Structures: a Probabilistic Approach, EMS Monographs in Mathematics, EMS Publishing House, Z¨urich, 2003. [3] G.J. Babu and E. Manstaviˇcius, ... is similar, however, some technical differences do arise in their analysis. Section 3.2 of the paper by D. Panario and B. Richmond [16] contains rather complicated asymp- to...

Ngày tải lên: 08/08/2014, 12:22

... conjecture was established by Gy´arf´as et a l. [10] for sufficiently large n. In asymp- totic form, this was proved by Figaj and Luczak in [8] as a corollary of more general results about the asymptotic ... 4955–4958 [6] P. Erd˝os, T. Gallai, On maximal paths and circuits of graphs, Acta Math. Acad. Sci. Hungar. 10 (1959), 33– 56. [7] R . J. Faudree, R. H. Schelp, Path Ramsey nu...

Ngày tải lên: 08/08/2014, 12:23