Basic Facts -- Closed Subsets -- Generating Subsets -- Quotient Schemes -- Morphisms -- Faithful Maps -- Products -- From Thin Schemes to Modules -- Scheme Rings -- Dihedral Closed Subsets -- Coxeter Sets -- Spherical Coxeter Sets.The present text is an introduction to the theory of association schemes. We start with the de?nition of an association scheme (or a scheme as we shall say brie?y), a…
Modelling Techniques -- An Initiative for International Consensus on Enterprise Inter- and Intra-Organisational Integration -- Towards Knowledge Logistics in Agile SME Networks -- A Modelling Framework for Human Resource-Based Business Processes -- Managing Service-Sensitive Demand Through Simulation -- Robust Modeling of Consumer Behaviour -- Sizing, Cycle Time and Plant Control Using Dioid Al…
Saturated and Conditional Structures in Banach Spaces -- Tsirelson and Mixed Tsirelson Spaces -- Tree Complete Extensions of a Ground Norm -- Hereditarily Indecomposable Extensions with a Schauder Basis -- The Space of the Operators for Hereditarily Indecomposable Banach Spaces -- Examples of Hereditarily Indecomposable Extensions -- The Space $$\mathfrak{X}\omega _1 $$ -- The Finite Represent…
to Projective Duality -- Actions with Finitely Many Orbits -- Local Calculations -- Projective Constructions -- Vector Bundles Methods -- Degree of the Dual Variety -- Varieties with Positive Defect -- Dual Varieties of Homogeneous Spaces -- Self-dual Varieties -- Singularities of Dual Varieties.Projective duality is a very classical notion naturally arising in various areas of mathematics, suc…
Background -- Algebraic Monoids -- Regularity Conditions -- Classification of Reductive Monoids -- Universal Constructions -- Orbit Structure of Reductive Monoids -- The Analogue of the Bruhat Decomposition -- Representations and Blocks of Algebraic Monoids -- Monoids of Lie Type -- Cellular Decomposition of Algebraic Monoids -- Conjugacy Classes -- The Centralizer of a Semisimple Element -- Co…
Parafree Groups -- The Finitary Andrews-Curtis Conjecture -- Cuts in Kähler Groups -- Algebraic Mapping-Class Groups of Orientable Surfaces with Boundaries -- Solved and Unsolved Problems Around One Group -- Cubature Formulas, Geometrical Designs, Reproducing Kernels, and Markov Operators -- Survey on Classifying Spaces for Families of Subgroups -- Are Unitarizable Groups Amenable? -- Probabil…
Data Correcting Algorithms in Combinatorial Optimization -- The Steiner Ratio of Banach-Minkowski spaces - A Survey -- Probabilistic Verification and Non-Approximability -- Steiner Trees in Industry -- Network-based Models and Algorithms in Data Mining and Knowledge Discovery -- The Generalized Assignment Problem and Extensions -- Optimal Rectangular Partitions -- Connected Dominating Set in Se…
Basic Graph Theory -- Algorithms and Complexity -- Shortest Paths -- Spanning Trees -- The Greedy Algorithm -- Flows -- Combinatorial Applications -- Connectivity and Depth First Search -- Colorings -- Circulations -- The Network Simplex Algorithm -- Synthesis of Networks -- Matchings -- Weighted matchings -- A Hard Problem: The TSP.From the reviews of the first edition: ".... The book is a fir…
Optimization Problems Related to Internet Congestion Control -- Problems in Data Structures and Algorithms -- Algorithmic Graph Theory and Its Applications -- Decompositions and Forcing Relations in Graphs and Other Combinatorial Structures -- The Local Ratio Technique and Its Application to Scheduling and Resource Allocation Problems -- Domination Analysis of Combinatorial Optimization Algorit…
Unary algebras and dualisability -- Binary homomorphisms and natural dualities -- The complexity of dualisability: three-element unary algebras -- Full and strong dualisability: three-element unary algebras -- Dualisability and algebraic constructions -- Dualisability and clones -- Inherent dualisability.Natural duality theory is one of the major growth areas within general algebra. This text p…