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DM
2006
85views more  DM 2006»
14 years 14 days 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»
14 years 14 days 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
DM
2008
116views more  DM 2008»
14 years 15 days ago
Total and fractional total colourings of circulant graphs
In this paper, the total chromatic number and fractional total chromatic number of circulant graphs are studied. For cubic circulant graphs we give upper bounds on the fractional ...
Riadh Khennoufa, Olivier Togni
ISHPC
2003
Springer
14 years 5 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...
ITCC
2003
IEEE
14 years 5 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...
WG
2004
Springer
14 years 5 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
PDP
2005
IEEE
14 years 6 months ago
Practicable Layouts for Optimal Circulant Graphs
Circulant graphs have been deeply studied in technical literature. Midimew networks are a class of distancerelated optimal circulant graphs of degree four which have applications ...
Enrique Vallejo, Ramón Beivide, Carmen Mart...