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Category G.2.1 Combinatorics

Combinatorial algorithms Counting problems Generating functions Permutations and combinations Recurrences and difference equations

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Current category: Top :: ITHEA Classification Structure :: G. Mathematics of Computing :: G.2 DISCRETE MATHEMATICS :: G.2.1 Combinatorics

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ITHEA Classification Structure

A. General Literature

A.1 INTRODUCTORY AND SURVEY

A.m MISCELLANEOUS

B.1 CONTROL STRUCTURES AND MICROPROGRAMMING

B.1.1 Control Design Styles

B.1.2 Control Structure Performance Analysis and Design Aids

B.1.3 Control Structure Reliability, Testing, and Fault-Tolerance

B.1.4 Microprogram Design Aids

B.1.5 Microcode Applications

B.1.m Miscellaneous

B.2 ARITHMETIC AND LOGIC STRUCTURES

B.2.1 Design Styles

B.2.2 Performance Analysis and Design Aids

B.2.3 Reliability, Testing, and Fault-Tolerance

B.2.4 High-Speed Arithmetic

B.2.m Miscellaneous

B.3 MEMORY STRUCTURES

B.3.1 Semiconductor Memories

B.3.2 Design Styles

B.3.3 Performance Analysis and Design Aids

B.3.4 Reliability, Testing, and Fault-Tolerance

B.3.m Miscellaneous

B.4 INPUT/OUTPUT AND DATA COMMUNICATIONS

B.4.1 Data Communications Devices

B.4.2 Input/Output Devices

B.4.3 Interconnections (Subsystems)

B.4.4 Performance Analysis and Design Aids

B.4.5 Reliability, Testing, and Fault-Tolerance

B.4.m Miscellaneous

B.5 REGISTER-TRANSFER-LEVEL IMPLEMENTATION

B.5.2 Design Aids

B.5.3 Reliability and Testing

B.5.m Miscellaneous

B.6 LOGIC DESIGN

B.6.1 Design Styles

B.6.2 Reliability and Testing

B.6.3 Design Aids

B.6.m Miscellaneous

B.7 INTEGRATED CIRCUITS

B.7.1 Types and Design Styles

B.7.2 Design Aids

B.7.3 Reliability and Testing

B.7.m Miscellaneous

B.8 PERFORMANCE AND RELIABILITY

B.8.1 Reliability, Testing, and Fault-Tolerance

B.8.2 Performance Analysis and Design Aids

B.8.m Miscellaneous

B.m MISCELLANEOUS

C. Computer Systems Organization

C.1 PROCESSOR ARCHITECTURES

C.1.1 Single Data Stream Architectures

C.1.2 Multiple Data Stream Architectures (Multiprocessors)

C.1.3 Other Architecture Styles

C.1.4 Parallel Architectures

C.1.m Miscellaneous

C.2 COMPUTER-COMMUNICATION NETWORKS

C.2.1 Network Architecture and Design

C.2.2 Network Protocols

C.2.3 Network Operations

C.2.4 Distributed Systems

C.2.5 Local and Wide-Area Networks

C.2.6 Internetworking

C.2.m Miscellaneous

C.3 SPECIAL-PURPOSE AND APPLICATION-BASED SYSTEMS

C.4 PERFORMANCE OF SYSTEMS

C.5 COMPUTER SYSTEM IMPLEMENTATION

C.5.1 Large and Medium (``Mainframe'') Computers

C.5.2 Minicomputers

C.5.3 Microcomputers

C.5.4 VLSI Systems

C.5.m Miscellaneous

C.m MISCELLANEOUS

D.1 PROGRAMMING TECHNIQUES

D.1.1 Applicative (Functional) Programming

D.1.2 Automatic Programming

D.1.3 Concurrent Programming

D.1.4 Sequential Programming

D.1.5 Object-oriented Programming

D.1.6 Logic Programming

D.1.7 Visual Programming

D.1.m Miscellaneous

D.2 SOFTWARE ENGINEERING

D.3 PROGRAMMING LANGUAGES

D.3.1 Formal Definitions and Theory

D.3.2 Language Classifications

D.3.3 Language Constructs and Features

D.3.4 Processors

D.3.m Miscellaneous

D.4 OPERATING SYSTEMS

D.m MISCELLANEOUS

E.1 DATA STRUCTURES

E.2 DATA STORAGE REPRESENTATIONS

E.3 DATA ENCRYPTION

E.4 CODING AND INFORMATION THEORY

E.m MISCELLANEOUS

F. Theory of Computation

F.1 COMPUTATION BY ABSTRACT DEVICES

F.1.1 Models of Computation

F.1.2 Modes of Computation

F.1.3 Complexity Measures and Classes

F.1.m Miscellaneous

F.2 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY

F.2.1 Numerical Algorithms and Problems

F.2.2 Nonnumerical Algorithms and Problems

F.2.3 Tradeoffs between Complexity Measures

F.2.m Miscellaneous

F.3 LOGICS AND MEANINGS OF PROGRAMS

F.3.1 Specifying and Verifying and Reasoning about Programs

F.3.2 Semantics of Programming Languages

F.3.3 Studies of Program Constructs

F.3.m Miscellaneous

F.4 MATHEMATICAL LOGIC AND FORMAL LANGUAGES

F.4.1 Mathematical Logic

F.4.2 Grammars and Other Rewriting Systems

F.4.3 Formal Languages

F.4.m Miscellaneous

F.m MISCELLANEOUS

G. Mathematics of Computing

H. Information Systems

H.1 MODELS AND PRINCIPLES

H.1.1 Systems and Information Theory

H.1.2 User/Machine Systems

H.1.m Miscellaneous

H.2 DATABASE MANAGEMENT

H.3 INFORMATION STORAGE AND RETRIEVAL

H.3.1 Content Analysis and Indexing

H.3.2 Information Storage

H.3.3 Information Search and Retrieval

H.3.4 Systems and Software

H.3.5 Online Information Services

H.3.6 Library Automation

H.3.7 Digital Libraries

H.3.m Miscellaneous

H.4 INFORMATION SYSTEMS APPLICATIONS

H.4.1 Office Automation

H.4.2 Types of Systems

H.4.3 Communications Applications

H.4.m Miscellaneous

H.5 INFORMATION INTERFACES AND PRESENTATION

H.5.1 Multimedia Information Systems

H.5.2 User Interfaces (D.2.2, H.1.2, I.3.6)

H.5.3 Group and Organization Interfaces

H.5.4 Hypertext/Hypermedia

H.5.5 Sound and Music Computing

H.5.m Miscellaneous

H.m MISCELLANEOUS

I. Computing Methodologies

I.1 SYMBOLIC AND ALGEBRAIC MANIPULATION

I.1.1 Expressions and Their Representation

I.1.2 Algorithms

I.1.3 Languages and Systems

I.1.4 Applications

I.1.m Miscellaneous

I.2 ARTIFICIAL INTELLIGENCE

I.3 COMPUTER GRAPHICS

I.4 IMAGE PROCESSING AND COMPUTER VISION

I.5 PATTERN RECOGNITION

I.5.2 Design Methodology

I.5.3 Clustering

I.5.4 Applications

I.5.5 Implementation

I.5.m Miscellaneous

I.6 SIMULATION AND MODELING

I.7 DOCUMENT AND TEXT PROCESSING

I.7.1 Document and Text Editing

I.7.2 Document Preparation

I.7.3 Index Generation

I.7.4 Electronic Publishing

I.7.5 Document Capture

I.7.m Miscellaneous

I.m MISCELLANEOUS

J. Computer Applications

J.1 ADMINISTRATIVE DATA PROCESSING

J.2 PHYSICAL SCIENCES AND ENGINEERING

J.3 LIFE AND MEDICAL SCIENCES

J.4 SOCIAL AND BEHAVIORAL SCIENCES

J.5 ARTS AND HUMANITIES

J.6 COMPUTER-AIDED ENGINEERING

J.7 COMPUTERS IN OTHER SYSTEMS

J.m MISCELLANEOUS

K. Computing Milieux

K.1 THE COMPUTER INDUSTRY

K.2 HISTORY OF COMPUTING

K.3 COMPUTERS AND EDUCATION

K.3.1 Computer Uses in Education

K.3.2 Computer and Information Science Education

K.3.m Miscellaneous

K.4 COMPUTERS AND SOCIETY

K.4.1 Public Policy Issues

K.4.2 Social Issues

K.4.3 Organizational Impacts

K.4.4 Electronic Commerce

K.4.m Miscellaneous

K.5 LEGAL ASPECTS OF COMPUTING

K.5.1 Hardware/Software Protection

K.5.2 Governmental Issues

K.5.m Miscellaneous

K.6 MANAGEMENT OF COMPUTING AND INFORMATION SYSTEMS

K.6.1 Project and People Management

K.6.2 Installation Management

K.6.3 Software Management

K.6.4 System Management

K.6.5 Security and Protection

K.6.m Miscellaneous

K.7 THE COMPUTING PROFESSION

K.7.1 Occupations

K.7.2 Organizations

K.7.3 Testing, Certification, and Licensing

K.7.4 Professional Ethics

K.7.m Miscellaneous

K.8 PERSONAL COMPUTING

K.8.1 Application Packages

K.8.3 Management/Maintenance

K.8.m Miscellaneous

K.m MISCELLANEOUS

Objects (29)

Article	THE BOUNDARY DESCRIPTORS OF THE n-DIMENSIONAL UNIT CUBE SUBSET PARTITIONING1	Abstract: The specific class of all monotone Boolean functions with characteristic vectors of partitioning of sets of all true-vertices to be minimal is investigated. These characteristic vectors cor
Article	VECTOR COMBINATORIAL PROBLEMS IN A SPACE OF COMBINATIONS ...	Abstract: The paper considers vector discrete optimization problem with linear fractional functions of criteria on a feasible set that has combinatorial properties of combinations. Structural propert
Article	VECTORS AND MATRIXES IN GROUPING INFORMATION PROBLEM	Abstract: Grouping information problem appears in application in two main forms. These are the problem of recovering function, represented by its observations and the problem of classification (clust
Article	‘FEATURE VECTORS’ IN GROUPING INFORMATION PROBLEM IN APPLIED MATHEMATICS: ..	Abstract: The grouping information problem manifests itself in two main forms. Namely these are: recovering function, represented by empirical data (observations) and problem of classification (cluste

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