/LC.GIF&client=easterncarolinaedu)
The mathematics of Paul Erdös / Ronald L. Graham, Jaroslav Nešetřil, Steve Butler, editors.
| Format | Electronic |
| Edition | 2nd ed. |
| Publication Info | New York ; Heidelberg : Springer, |
| Description | 2 v. : ill. ; 24 cm. |
| Supplemental Content | Full text available from Springer Nature - Springer Mathematics and Statistics eBooks 2013 English International |
| Supplemental Content | Full text available from Springer Books |
| Subjects |
| Other author/creator | Erdős, Paul, 1913-1996. |
| Other author/creator | Graham, Ronald L., 1935-2020. |
| Other author/creator | Nešetřil, Jaroslav. |
| Other author/creator | Butler, Steven Kay, 1977- |
| Contents | Vol. 1. : Paul Erdös -- Life and Work -- Paul Erdös Magic -- Part I Early Days -- Introduction -- Some of My Favorite Problems and Results -- 3 Encounters with Paul Erdös -- 4 Did Erdös Save Western Civilization? -- Integers Uniquely Represented by Certain Ternary Forms -- Did Erdös Save Western Civilization? -- Encounters with Paul Erdös -- On Cubic Graphs of Girth at Least Five -- Part II Number Theory -- Introduction -- Cross-disjoint Pairs of Clouds in the Interval Lattice -- Classical Results on Primitive and Recent Results on Cross-Primitive Sequences -- Dense Difference Sets and their Combinatorial Structure -- Integer Sets Containing No Solution to x+y=3z -- On Primes Recognizable in Deterministic Polynomial Time -- Ballot Numbers, Alternating Products, and the Erdös-Heilbronn Conjecture -- On Landau's Function g(n) -- On Divisibility Properties on Sequences of Integers -- On Additive Representation Functions -- Arithmetical Properties of Polynomials -- Some Methods of Erdös Applied to Finite Arithmetic Progressions -- Sur La Non-Dérivabilité de Fonctions Périodiques Associées à Certaines Formules Sommatoires -- 1105: First Steps in a Mysterious Quest -- Part III Randomness and Applications -- Introduction -- Games, Randomness, and Algorithms -- The Origins of the Theory of Random Graphs -- An Upper bound for a Communication Game Related to Time-space Tradeoffs -- How Abelian is a Finite Group? -- One Small Size Approximation Models -- The Erdös Existence Argument -- Part IV Geometry -- Introduction -- Extension of Functional Equations -- Remarks on Penrose Tilings -- Distances in Convex Polygons -- Unexpected Applications of Polynomials in Combinatorics -- The Number of Homothetic Subsets -- On Lipschitz Mappings Onto a Square -- A Remark on Transversal Numbers -- In Praise of the Gram Matrix -- On Mutually Avoiding Sets -- Bibliography. |
| Contents | Vol. 2. : Part I Combinatorics and Graph Theory -- Introduction -- Reconstruction Problems for Digraphs -- Neighborly Families of Boxes and Bipartite Coverings -- On the Isolation of a Common Secret -- Properties of Graded Posets Preserved by Some Operations -- The Dimension of Random Graph Orders -- Hereditary and Monotone Properties of Graphs -- Cycles and Paths in Triangle-Free Graphs -- Problems in Graph Theory from Memphis -- Some Remarks on the Cycle Plus Triangles Problem -- Intersection Representations of the Complete Bipartite Graph -- Reflections on a Problem of Erdös and Hajnal -- The Chromatic Number of the Two-Packing of a Forest -- Part II Ramsey and Extremal Theory -- Introduction -- Ramsey Theory in the Work of Paul Erdös -- Memories on Shadows and Shadows of Memories -- A Bound of the Cardinality of Families Not Containing D-Systems -- Flag Algebras: An Interim Report -- Arrangeability and Clique Subdivisions -- A Finite Partition Theorem with Double Exponential Bound -- Paul Erdös' Influence on Extremal Graph Theory -- Applications of the Probabilistic Method to Partially Ordered Sets -- Part III Infinity -- Introduction -- A Few Remarks on a Conjecture of Erdös on the Infinite Version of Menger's Theorem -- The Random Graph -- Paul Erdös' Set Theory -- Set Theory: Geometric and Real -- On Order-Perfect Lattices -- The PCF Theorem Revisited -- Paul Erdös: The Master of Collaboration -- List of Publications of Paul Erdös -- Postscript. |
| General note | "List of publications of Paul Erdös, January 2013": v. 2, p. [497]-603. |
| Bibliography note | Includes bibliographical references. |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Genre/form | Electronic books. |
| LCCN | 2013940428 |
| ISBN | 9781461472575 (v. 1 : acid-free paper) |
| ISBN | 1461472571 (v. 1 : acid-free paper) |
| ISBN | 9781461472537 (v. 2 : acid-free paper) |
| ISBN | 1461472539 (v. 2 : acid-free paper) |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Electronic Resources | ✔ Available |