Protasova K. Partitions of Graphs

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0406U001408

Applicant for

Specialization

  • 01.05.01 - Теоретичні основи інформатики та кібернетики

24-03-2006

Specialized Academic Board

Д 26.194.02

V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine

Essay

A new notion of kaleidoscopic graph that is the natural generalization of Hamming codes was introduced here. Two general methods for construction kaleidoscopic graphs based on Kelly graph of groups were described. Several sufficient conditions of square-Hamiltonian graphs were discovered. Key words: balanced partitions of graphs, square-Hamiltonian graphs, kaleidoscopic graphs, gr-graphs, round-about graph.

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