Zobrazeno 1 - 10
of 65
pro vyhledávání: '"E. Mwambene"'
Autor:
O. Habineza, E. Mwambene
Publikováno v:
AKCE International Journal of Graphs and Combinatorics, Vol 20, Iss 3, Pp 308-312 (2023)
AbstractIn this paper, we consider the automorphism groups of Cayley graphs which are a basis of a complete Boolean algebra of strongly regular graphs, one of such graph is the integral distance graph [Formula: see text] The automorphism groups of th
Externí odkaz:
https://doaj.org/article/bfc6bf31fd094a938595c55bedd09b02
Autor:
N.B. Mumba, E. Mwambene
Publikováno v:
AKCE International Journal of Graphs and Combinatorics, Vol 15, Iss 1, Pp 27-30 (2018)
Hofmeister considered the automorphism groups of antipodal graphs through the exploration of graph covers. In this note we extend the exploration of automorphism groups of distance preserving graph covers. We apply the technique of graph covers to de
Externí odkaz:
https://doaj.org/article/6d6afc270d6b4450ac63c77b981af59a
Autor:
Imran Allie, E. Mwambene
Publikováno v:
Graphs and Combinatorics. 35:1433-1446
In this paper, we define meta-Cayley graphs on dihedral groups. We fully determine the automorphism groups of the constructed graphs in question. Further, we prove that some of the graphs that we have constructed do not admit subgroups which act regu
Publikováno v:
Journal of Applied Mathematics and Computing. 61:461-479
Codes from adjacency matrices from the Hamming graphs $$H^k(n,m)$$ are examined for the property of being special LCD codes. The special property involves being able to propose a feasible decoding algorithm for the binary codes, and also to deduce th
Publikováno v:
Quaestiones Mathematicae. 43:523-538
For a set Ω = {1, 2, . . . , n} where n = 2k ≥ 6, let Ω{k} denote the set of all subsets of Ω of size k. We examine the binary codes from the row span of biadjacency matrices of bipartite graphs wi...
Autor:
E. Mwambene, N. B. Mumba
Publikováno v:
AKCE International Journal of Graphs and Combinatorics, Vol 15, Iss 1, Pp 27-30 (2018)
Hofmeister considered the automorphism groups of antipodal graphs through the exploration of graph covers. In this note we extend the exploration of automorphism groups of distance preserving graph covers. We apply the technique of graph covers to de
Publikováno v:
Afrika Matematika. 29:753-759
We exhibit PD-sets for the binary and non-binary codes generated by incidence matrices of triangular graphs $$T_n$$ where $$n\ge 5$$ .
Publikováno v:
Graphs and Combinatorics. 34:163-192
Studies of the p-ary codes from the adjacency matrices of uniform subset graphs $$\varGamma (n,k,r)$$ and their reflexive associates have shown that a particular family of codes defined on the subsets are intimately related to the codes from these gr
Publikováno v:
Graphs and Combinatorics. 33:357-368
Let $$k \ge 3$$k?3 be an integer and $$\Omega $$Ω a set of size $$2k+1.$$2k+1. We examine the binary codes generated by the row span of biadjacency matrices of the bipartite graphs $$\Gamma (2k+1,k,k+2,1).$$Γ(2k+1,k,k+2,1). Adjacency in these graph
Publikováno v:
Advances in Mathematics of Communications. 9:211-232
We examine the binary codes $C_2(A_i+I)$ from matrices $A_i+I$ where $A_i$ is an adjacency matrix of a uniform subset graph $\Gamma(n,3,i)$ of $3$-subsets of a set of size $n$ with adjacency defined by subsets meeting in $i$ elements of $\Omega$, whe