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COMBINATORICA
2008
78views more  COMBINATORICA 2008»
15 years 6 months ago
Optimal strong parity edge-coloring of complete graphs
A parity walk in an edge-coloring of a graph is a walk along which each color is used an even number of times. Let p(G) be the least number of colors in an edge-coloring of G havi...
David P. Bunde, Kevin Milans, Douglas B. West, Heh...
IPL
2011
63views more  IPL 2011»
15 years 1 months ago
Edge-colored graphs with applications to homogeneous faults
In this paper, we use the concept of edge-colored graphs to model homogeneous faults in networks. We then use this model to study the minimum connectivity (and design) requirement...
Yongge Wang, Yvo Desmedt
JGT
2011
109views more  JGT 2011»
15 years 1 months ago
Total weight choosability of graphs
A graph G = (V, E) is called (k, k )-total weight choosable if the following holds: For any total list assignment L which assigns to each vertex x a set L(x) of k real numbers, an...
Tsai-Lien Wong, Xuding Zhu
FOCS
2009
IEEE
16 years 1 months ago
Planarity Allowing Few Error Vertices in Linear Time
— We show that for every fixed k, there is a linear time algorithm that decides whether or not a given graph has a vertex set X of order at most k such that G − X is planar (w...
Ken-ichi Kawarabayashi
ICTAI
2000
IEEE
15 years 11 months ago
Consistency checking for Euclidean spatial constraints: a dimension graph approach
In this paper, we address the problem of consistency checking for Euclidean spatial constraints. A dimension graph representation is proposed to maintain the Euclidean spatial con...
Xuan Liu, Shashi Shekhar, Sanjay Chawla