The Mathematics of Paul Erdös II

of The Mathematics of Paul Erd?s II.- IV. Combinatorics and Graph Theory.- Problems in Graph Theory from Memphis.- Neighborly Families of Boxes and Bipartite Coverings.- Cycles and Paths in Triangle-Free Graphs.- Reconstruction Problems for Digraphs.- The Dimension of Random Graph Orders.- Hereditary and Monotone Properties of Graphs.- Properties of Graded Posets Preserved by Some Operations.- Intersection Representations of the Complete Bipartite Graph.- Reflections on a Problem of Erd?s and Hajnal.- The Chromatic Number of the Two-packing of a Forest.- On the Isolation of a Common Secret.- Some Remarks on the Cycle Plus Triangles Problem.- V. Ramsey and Extremal Theory.- Paul Erd?s' Influence on Extremal Graph Theory.- Ramsey Theory in the Work of Paul Erd?s.- Memories on Shadows and Shadows of Memories.- Applications of the Probabilistic Method to Partially Ordered Sets.- A Bound of the Cardinality of Families not Containing ?-Systems.- Arrangeability and Clique Subdivisions.- A Finite Partition Theorem with Double Exponential Bound.- VI. Geometry.- Extension of Functional Equations.- Remarks on Penrose Tilings.- Distances in Convex Polygons.- 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.- VII. Infinity.- The Random Graph.- Paul Erd?s' Set Theory.- A Few Remarks on a Conjecture of Erdos on the Infinite Version of Menger's Theorem.- On Order-Perfect Lattices.- The PCF Theorem Revisited.- Set Theory: Geometric and Real.- Paul Erd?s: The Master of Collaboration.- List of Publications of Paul Erdos.- Postscript.