Topics in Discrete Mathematics (eBook)

Algebra, Geometry, Numbers.- Countable Almost Rigid Heyting Algebras.- Piecewise-Bohr Sets of Integers and Combinatorial Number Theory.- A Generalization of Conway Number Games to Multiple Players.- Two Isoperimetric Problems for Euclidean Simplices.- On Finitely Generated Varieties of Distributive Double p-algebras and their Subquasivarieties.- The F-triangle of the Generalised Cluster Complex.- Ramsey Theory.- Monochromatic Equilateral Right Triangles on the Integer Grid.- One-sided Coverings of Colored Complete Bipartite Graphs.- Nonconstant Monochromatic Solutions to Systems of Linear Equations.- On the Induced Ramsey Number IR(P 3, H).- On Explicit Ramsey Graphs and Estimates of the Number of Sums and Products.- Graphs and Hypergraphs.- Hereditary Properties of Ordered Graphs.- A Proof and Generalizations of the Erd?s-Ko-Rado Theorem Using the Method of Linearly Independent Polynomials.- Unions of Perfect Matchings in Cubic Graphs.- Random Graphs from Planar and Other Addable Classes.- Extremal Hypergraph Problems and the Regularity Method.- Homomorphisms.- Homomorphisms in Graph Property Testing.- Counting Graph Homomorphisms.- Efficient Algorithms for Parameterized H-colorings.- From Graph Colouring to Constraint Satisfaction: There and Back Again.- Graph Colorings.- Thresholds for Path Colorings of Planar Graphs.- Chromatic Numbers and Homomorphisms of Large Girth Hypergraphs.- Acyclic 4-Choosability of Planar Graphs Without Cycles of Specific Lengths.- On the Algorithmic Aspects of Hedetniemi’s Conjecture.- Recent Developments in Circular Colouring of Graphs.- Graph Embeddings.- Regular Embeddings of Multigraphs.- Quadrangulations and 5-critical Graphs on the Projective Plane.- Crossing Number of Toroidal Graphs.- Regular Maps on a Given Surface: A Survey.- VII.- On Six Problems Posed by Jarik Nešet?il.