Modeling discrete combinatorial systems as alphabetic bipartite networks: Theory and applications

Modeling discrete combinatorial systems as alphabetic bipartite networks: theory and applications.

Genes and human languages are discrete combinatorial systems (DCSs), in which the basic building blocks are finite sets of elementary units: nucleotides or codons in a DNA sequence, and letters or words in a language. Different combinations of these finite units give rise to potentially infinite numbers of genes or sentences. This type of DCSs can be represented as an alphabetic bipartite netwo...

Modeling Discrete Combinatorial Systems as Alphabetic Bipartite Networks (α-BiNs): Theory and Applications

Life and language are discrete combinatorial systems (DCSs) in which the basic building blocks are finite sets of elementary units: nucleotides or codons in a DNA sequence and letters or words in a language. Different combinations of these finite units give rise to potentially infinite numbers of genes or sentences. This type of DCS can be represented as an Alphabetic Bipartite Network (α-BiN) ...

Kinship networks and discrete structure theory: applications and implications

Confusions between substantive and relational concepts of kinship as a social network have led to a number of problems that are clarified by a temporally ordered relational theory of network structure. The ordered-network approach gives rise to a novel means of graphing the social field of kinship relations, while allowing kinship to be locally defined in culturally relative terms. Its utility ...

A Novel Combinatorial Approach to Discrete Fracture Network Modeling in Heterogeneous Media

Fractured reservoirs contain about 85 and 90 percent of oil and gas resources respectively in Iran. A comprehensive study and investigation of fractures as the main factor affecting fluid flow or perhaps barrier seems necessary for reservoir development studies. High degrees of heterogeneity and sparseness of data have incapacitated conventional deterministic methods in fracture network modelin...

Combinatorial and Diophantine Applications of Ergodic Theory