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Your search keyword '"Mwambene, Eric"' showing total 4 results
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4 results on '"Mwambene, Eric"'

1. Codes related to line graphs of triangular graphs and permutation decoding.

Author

Fish, Washiela, Kumwenda, Khumbo, and Mwambene, Eric

Subjects
CIPHERS, PERMUTATIONS, GRAPH theory, DECODING algorithms, MATRICES (Mathematics), AUTOMORPHISM groups, TRIANGULARIZATION (Mathematics)
Abstract

For any prime p, we consider p-ary linear codes obtained from the row span of incidence matrices of line graphs of triangular graphs and adjacency matrices of their line graphs. We determine parameters of the codes, their automorphism groups and exhibit permutation decoding sets (PD-sets) for partial permutation decoding. [ABSTRACT FROM AUTHOR]

Published
2012
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2. On non-Cayley vertex-transitive graphs and the meta-Cayley graphs.

Author

Mwambene, Eric

Subjects
*CAYLEY graphs, *GRAPH theory, *GENERALIZATION, *GROUP theory, *MATHEMATICAL mappings, *SET theory, *MATHEMATICAL analysis
Abstract

The pursuit to identify vertex-transitive non-Cayley graphs has been deliberate for some time now. In that vein, Alspach and Parsons [1] introduced metacirculant graphs. They are defined on two cyclic groups with adjacency resembling twisting that is typically used in defining semi-direct products of groups. In this sequel we generalise the construction to general groups and introduce a class of graphs we call meta-Cayley graphs. [ABSTRACT FROM PUBLISHER]

Published
2011
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