Results 131 to 140 of about 990 (211)

Symmetry Parameters of Two-Generator Circulant Graphs

open access: yes
The derived graph of a voltage graph consisting of a single vertex and two loops of different voltages is a circulant graph with two generators. We characterize the automorphism groups of connected, two-generator circulant graphs, and give their ...
Cockburn, Sally, Loeb, Sarah
core  

Some new optimal and suboptimal infinite families of undirected double-loop networks

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2006
Let n, s be positive integers such that 2≤s<n and s≠ n / 2. An undirected double-loop network G(n; 1, s) is an undirected graph (V, E), where V = ℤ n = {0, 1, 2, …, n-1 } and E = { (i, i+1 mod n), (i, i+s mod n)  |  i ∈ℤ}.
Bao Xing Chen   +2 more
doaj  

Recognizing Circulant Graphs of Prime Order in Polynomial Time

open access: yes, 1998
A circulant graph G of order n is a Cayley graph over the cyclic group Z n : Equivalently, G is circulant iff its vertices can be ordered such that the corresponding adjacency matrix becomes a circulant matrix. To each circulant graph we may associate a
Mikhail E. Muzychuk, Gottfried Tinhofer
core  

Combinatorial refinement on circulant graphs

open access: yescomputational complexity
AbstractThe combinatorial refinement techniques have proven to be an efficient approach to isomorphism testing for particular classes of graphs. If the number of refinement rounds is small, this puts the corresponding isomorphism problem in a low-complexity class. We investigate the round complexity of the two-dimensional Weisfeiler--Leman algorithm on
openaire   +2 more sources

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