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» Self-complementary circulant graphs
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DM
2006
144views more  DM 2006»
14 years 11 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»
14 years 11 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»
14 years 11 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
14 years 6 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»
14 years 11 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