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COMBINATORICS
2007
72views more  COMBINATORICS 2007»
13 years 5 months ago
On Self-Complementary Cyclic Packing of Forests
A graph is self-complementary if it is isomorphic to its complement. In this paper we prove that every forest of order 4p and size less than 3p is a subgraph of a self-complementa...
A. Pawel Wojda, Mariusz Wozniak, Irmina A. Ziolo
WG
2004
Springer
13 years 10 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
DAM
2011
13 years 7 days 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...
ITCC
2003
IEEE
13 years 10 months ago
Distance-Hereditary Embeddings of Circulant Graphs
In this paper we present a distance-hereditary decomposition of optimal chordal rings of 2k2 nodes into a set of rings of 2k nodes, where k is the diameter. All the rings belongin...
Carmen Martínez, Ramón Beivide, Jaim...
ISHPC
2003
Springer
13 years 10 months ago
Chordal Topologies for Interconnection Networks
Abstract. The class of dense circulant graphs of degree four with optimal distance-related properties is analyzed in this paper. An algebraic study of this class is done. Two geome...
Ramón Beivide, Carmen Martínez, Cruz...