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DM
2008
94views more  DM 2008»
13 years 8 months ago
On low degree k-ordered graphs
A simple graph G is k-ordered (respectively, k-ordered hamiltonian) if, for any sequence of k distinct vertices v1, . . . , vk of G, there exists a cycle (respectively, a hamilton...
Karola Mészáros
WG
2009
Springer
14 years 3 months ago
Chordal Digraphs
Chordal graphs, also called triangulated graphs, are important in algorithmic graph theory. In this paper we generalise the definition of chordal graphs to the class of directed ...
Daniel Meister, Jan Arne Telle
DM
2008
115views more  DM 2008»
13 years 8 months ago
Characterizations of postman sets
Using results by McKee and Woodall on binary matroids, we prove that the set of postman sets has odd cardinality, generalizing a result by Toida on the cardinality of cycles in Eu...
Néstor E. Aguilera, Valeria A. Leoni
SIAMCOMP
2000
125views more  SIAMCOMP 2000»
13 years 8 months ago
Approximating the Stretch Factor of Euclidean Graphs
There are several results available in the literature dealing with efficient construction of t-spanners for a given set S of n points in Rd. t-spanners are Euclidean graphs in whic...
Giri Narasimhan, Michiel H. M. Smid
COCOON
2006
Springer
14 years 14 days ago
Optimal Acyclic Edge Colouring of Grid Like Graphs
We determine the values of the acyclic chromatic index of a class of graphs referred to as d-dimensional partial tori. These are graphs which can be expressed as the cartesian prod...
Rahul Muthu, N. Narayanan, C. R. Subramanian