Aspects of Combinatorics and Combinatorial Number TheoryTaylor & Francis, 2002 - 156 páginas |
Contenido
Preface | 1 |
Chapter 3 | 31 |
Introduction | 37 |
Topological methods | 49 |
Euclidean Ramsey theory | 61 |
Additive number Theory and related questions | 75 |
Partitions of integers | 95 |
Ramseytype results in posets | 117 |
Solutions to selected exercises | 129 |
143 | |
146 | |
153 | |
Otras ediciones - Ver todas
Aspects of Combinatorics and Combinatorial Number Theory Sukumar Das Adhikari Sin vista previa disponible - 2002 |
Aspects of Combinatorics and Combinatorial Number Theory Sukumar Das Adhikari Sin vista previa disponible - 2002 |
Términos y frases comunes
3.1 of Chapter a₁ additive number theory Alon and Dubiner arithmetic progression assume b₁ b₂ c₁ coefficient compact semigroup congruent conjecture consider contains corresponding defined DEFINITION denote the number distinct dots elements equation Erdős Erdős-Ginzburg-Ziv Theorem Exercises from Chapter exists finite colouring finite set finite subsets fliptop Furstenberg and Katznelson graph G graphical representation Hales-Jewett theorem hence idempotent implies induction k-subsets least left ideal Lemma length matrix minimal left ideal modulo monochromatic monochromatic solution monomial N₁ non-empty subsets notations NU(V number of partitions observe obtained partition function pigeonhole principle points polynomial posets positive integer prime prove r-colouring Rado Ramsey Theory Ramsey-type Ramsey's theorem real numbers REMARK result Rödl Sárközy Schur's theorem Section self-conjugate semigroup sequence a1 Shelah Sidon set T₁ Theorem 2.1 theorem Theorem triangle vector vertices Waerden's theorem y₁ Z+)d