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Network analytics for insurance fraud detection: a critical case study
There has been an increasing interest in fraud detection methods, driven by new regulations and by the financial losses linked to fraud. One of the...
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On the graded algebras associated with Hecke symmetries, II. The Hilbert series
Hecke symmetries give rise to a family of graded algebras which represent quantum groups and spaces of noncommutative geometry. The present paper...
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Infinite families of crank functions, Stanton-type conjectures, and unimodality
Dyson’s rank function and the Andrews–Garvan crank function famously give combinatorial witnesses for Ramanujan’s partition function congruences...
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Oka principle for Levi flat manifolds
The name of Oka principle, or Oka–Grauert principle, is traditionally used to refer to the holomorphic incarnation of the homotopy principle: on a...
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Congruences for bipartitions with odd parts distinct
Hirschhorn and Sellers studied arithmetic properties of the number of partitions with odd parts distinct. In another direction, Hammond and Lewis...
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Matrix, Graph, and Matroid
This chapter lays the mathematical foundation for combinatorial methods of systems analysis. Combinatorial properties of numerical matrices can be...
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Further Topics
This chapter introduces three supplementary, mutually independent, topics: the combinatorial relaxation algorithm, combinatorial system theory, and...
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Theory and Application of Mixed Matrices
This chapter is devoted to a study on mixed matrices and layered mixed matrices using matroid-theoretic methods. Particular emphasis is laid on the...