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This volume presents easy-to-understand yet surprising properties obtained using topological, geometric and graph theoretic tools in the areas covered by the Geometry Conference that took place in Mulhouse, France from September 7–11, 2014 in honour of Tudor Zamfirescu on the occasion of his 70th anniversary. The contributions address subjects in convexity and discrete geometry, in distance geometry or with geometrical flavor in combinatorics, graph theory or non-linear analysis. Written by top experts, these papers highlight the close connections between these fields, as well as ties to other domains of geometry and their reciprocal influence. They offer an overview on recent developments in geometry and its border with discrete mathematics, and provide answers to several open questions. The volume addresses a large audience in mathematics, including researchers and graduate students interested in geometry and geometrical problems.

Mathematics. --- Global analysis (Mathematics). --- Manifolds (Mathematics). --- Convex geometry. --- Discrete geometry. --- Combinatorics. --- Graph theory. --- Convex and Discrete Geometry. --- Graph Theory. --- Global Analysis and Analysis on Manifolds. --- Graph theory --- Convex domains. --- Convex regions --- Convexity --- Graphs, Theory of --- Theory of graphs --- Extremal problems --- Calculus of variations --- Convex geometry --- Point set theory --- Combinatorial analysis --- Topology --- Discrete groups. --- Global analysis. --- Groups, Discrete --- Infinite groups --- Combinatorics --- Algebra --- Mathematical analysis --- Discrete mathematics --- Convex geometry . --- Geometry, Differential --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- Geometry --- Combinatorial geometry

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The present volume is a collection of a dozen survey articles, dedicated to the memory of the famous Hungarian geometer, László Fejes Tóth, on the 99th anniversary of his birth. Each article reviews recent progress in an important field in intuitive, discrete, and convex geometry. The mathematical work and perspectives of all editors and most contributors of this volume were deeply influenced by László Fejes Tóth. .

Convex geometry. --- Discrete geometry. --- Mathematics. --- Mathematics --- Physical Sciences & Mathematics --- Algebra --- Geometry. --- Polytopes. --- Topology. --- Combinatorics. --- Convex and Discrete Geometry. --- Geometry --- Combinatorial geometry --- Euclid's Elements --- Discrete groups. --- Analysis situs --- Position analysis --- Rubber-sheet geometry --- Polyhedra --- Set theory --- Algebras, Linear --- Groups, Discrete --- Infinite groups --- Combinatorics --- Mathematical analysis --- Discrete mathematics --- Convex geometry . --- Hyperspace --- Topology --- Discrete mathematics. --- Discrete Mathematics. --- Discrete mathematical structures --- Mathematical structures, Discrete --- Structures, Discrete mathematical --- Numerical analysis

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This volume collects together research and survey papers written by invited speakers of a conference celebrating the 70th birthday of László Lovász. The topics covered include classical subjects such as extremal graph theory, coding theory, design theory, applications of linear algebra and combinatorial optimization, as well as recent trends such as extensions of graph limits, online or statistical versions of classical combinatorial problems, and new methods of derandomization. László Lovász is one of the pioneers in the interplay between discrete and continuous mathematics, and is a master at establishing unexpected connections, “building bridges” between seemingly distant fields. His invariably elegant and powerful ideas have produced new subfields in many areas, and his outstanding scientific work has defined and shaped many research directions in the last 50 years. The 14 contributions presented in this volume, all of which are connected to László Lovász's areas of research, offer an excellent overview of the state of the art of combinatorics and related topics and will be of interest to experienced specialists as well as young researchers.

Combinatorics. --- Computer science—Mathematics. --- Computer mathematics. --- Mathematical Applications in Computer Science. --- Mathematics --- Math --- Science --- Computer mathematics --- Electronic data processing --- Combinatorics --- Algebra --- Mathematical analysis --- Discrete mathematics. --- Computer science --- Discrete Mathematics. --- Mathematics. --- Discrete mathematical structures --- Mathematical structures, Discrete --- Structures, Discrete mathematical --- Numerical analysis

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Differential geometry. Global analysis --- Geometry --- Operational research. Game theory --- Geology. Earth sciences --- differentiaal geometrie --- stochastische analyse --- kansrekening --- geometrie