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» Self-complementary circulant graphs
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DM
2006
144views more  DM 2006»
13 years 7 months ago
On almost self-complementary graphs
A graph is called almost self-complementary if it is isomorphic to one of its almost complements Xc - I, where Xc denotes the complement of X and I a perfect matching (1-factor) i...
Primoz Potocnik, Mateja Sajna
COMBINATORICS
2002
116views more  COMBINATORICS 2002»
13 years 7 months ago
Toida's Conjecture is True
Let S be a subset of the units in Zn. Let be a circulant graph of order n (a Cayley graph of Zn) such that if ij E(), then i - j (mod n) S. Toida conjectured that if is another...
Edward Dobson, Joy Morris
IPL
2002
71views more  IPL 2002»
13 years 7 months ago
Pancyclicity of recursive circulant graphs
In this paper, we study the existence of cycles of all lengths in the recursive circulant graphs, and we show a necessary and sufficient condition for the graph being pancyclic an...
Toru Araki, Yukio Shibata
DCC
2011
IEEE
13 years 2 months ago
Directed graph representation of half-rate additive codes over GF(4)
We show that (n, 2n ) additive codes over GF(4) can be represented as directed graphs. This generalizes earlier results on self-dual additive codes over GF(4), which correspond to ...
Lars Eirik Danielsen, Matthew G. Parker
DM
2000
88views more  DM 2000»
13 years 7 months ago
Hamiltonian decomposition of recursive circulant graphs
The graph G(N; d) has vertex set V = {0; 1; : : : ; N - 1}, with {v; w} an edge if v - w
Daniel K. Biss