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ITHEA Classification Structure > G. Mathematics of Computing  > G.2 DISCRETE MATHEMATICS  > G.2.1 Combinatorics 
SOME PROPERTIES IN MULTIDIMENSIONAL MULTIVALUED DISCRETE TORUS
By: Vilik Karakhanyan (2533 reads)
Rating: (1.00/10)

Abstract: Current research concerns the following issues: n-dimensional discrete torus generated by cycles of even length is considered; the concept of standard arrangement in the torus is defined and some basic properties of this arrangement are investigated. The issues considered are similar to discrete isoperimetry constructions, being related to concept of neighbourhood in terms of linear arrangements of vertices. Considered are the basic properties of solving the discrete isoperimetry problem on torus.

Keywords: discrete torus, standard arrangement.

ACM Classification Keywords: G.2.1 Discrete mathematics: Combinatorics

Link:

SOME PROPERTIES IN MULTIDIMENSIONAL MULTIVALUED DISCRETE TORUS

Vilik Karakhanyan

http://www.foibg.com/ijita/vol17/ijita17-2-p05.pdf

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G.2.1 Combinatorics
article: RANDOMIZED SET SYSTEMS CONSTRAINED BY THE DISCRETE TOMOGRAPHY · A NEW ALGORITM FOR THE LONGEST COMMON SUBSEQUENCE PROBLEM · ON THE STRUCTURE OF MAXIMUM INDEPENDENT SETS IN BIPARTITE GRAPHS · SOME PROPERTIES IN MULTIDIMENSIONAL MULTIVALUED DISCRETE TORUS · ON PROBLEM OF ADEQUACY OF MULTISET MATHEMATICAL MODELS · SPREADING THE MOORE - PENROSE PSEUDO INVERSE ON MATRICES EUCLIDEAN SPACES: ... · VECTORS AND MATRIXES IN GROUPING INFORMATION PROBLEM · CHOICE OF DIAGNOSTIC DECISION MAKING IN MEDICINE AND INTERVENTION MISTAKE ... · RECURRENT PROCEDURE IN SOLVING THE GROUPING INFORMATION PROBLEM IN APPLIED... · ‘FEATURE VECTORS’ IN GROUPING INFORMATION PROBLEM IN APPLIED MATHEMATICS: .. · DECOMPOSITION METHODS FOR LARGE-SCALE TSP · ON THE DISCRETIZATION OF DISTANCE GEOMETRY PROBLEMS · REGULAR INVERSIVE POLYTOPES · LOGARITHMIC DISTANCES IN GRAPHS · FUZZY SETS AS A MEAN FOR UNCERTAINTY HANDLING: MATH, APPLIED MATH, HEURISTICS · FUZZY SETS: MATH, APPLIED MATH, HEURISTICS? PROBLEMS AND INTERPRETATIONS · CROSS INTERSECTION SEQUEL OF DISCRETE ISOPERIMETRY1 · GENERATING MORE BOUNDARY ELEMENTS OF SUBSET PROJECTIONS · MULTICRITERION PROBLEMS ON THE COMBINATORIAL SET OF POLYARRANGEMENTS · CHAIN SPLIT OF PARTIALLY ORDERED SET OF K-SUBSETS · SOLVING LARGE SYSTEMS OF BOOLEAN EQUATIONS · LAGRANGEAN APPROXIMATION FOR COMBINATORIAL INVERSE PROBLEMS · MULTICRITERION PROBLEMS ON THE COMBINATORIAL SET OF POLYARRANGEMENTS · DESCRIPTION REDUCTION FOR RESTRICTED SETS OF (0,1) MATRICES 1 · DECOMPOSITION OF BOOLEAN FUNCTIONS – RECOGNIZING A GOOD SOLUTION BY TRACES · THE BOUNDARY DESCRIPTORS OF THE n-DIMENSIONAL UNIT CUBE SUBSET PARTITIONING1 · RANDOMIZED PARALLELIZATION – A NEW METHOD FOR SOLVING ... · OPTIMIZATION OF ATM TELECOMMUNICATION NETWORKS · VECTOR COMBINATORIAL PROBLEMS IN A SPACE OF COMBINATIONS ... ·
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