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» On Routing in Circulant Graphs
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COMBINATORICS
1998
103views more  COMBINATORICS 1998»
13 years 6 months ago
Recognizing Circulant Graphs of Prime Order in Polynomial Time
A circulant graph G of order n is a Cayley graph over the cyclic group Zn. Equivalently, G is circulant iff its vertices can be ordered such that the corresponding adjacency matr...
Mikhail E. Muzychuk, Gottfried Tinhofer
WG
2004
Springer
13 years 11 months ago
Unhooking Circulant Graphs: A Combinatorial Method for Counting Spanning Trees and Other Parameters
It has long been known that the number of spanning trees in circulant graphs with fixed jumps and n nodes satisfies a recurrence relation in n. The proof of this fact was algebra...
Mordecai J. Golin, Yiu-Cho Leung
DM
2006
85views more  DM 2006»
13 years 6 months ago
Further analysis of the number of spanning trees in circulant graphs
Let 1 s1 < s2 <
Talip Atajan, Xuerong Yong, Hiroshi Inaba
DM
2006
144views more  DM 2006»
13 years 6 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
DAM
2011
13 years 1 months ago
Powers of cycles, powers of paths, and distance graphs
In 1988, Golumbic and Hammer characterized powers of cycles, relating them to circular-arc graphs. We extend their results and propose several further structural characterizations ...
Min Chih Lin, Dieter Rautenbach, Francisco J. Soul...