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JGT
2007
73views more  JGT 2007»
13 years 7 months ago
New bounds on the edge number of a k-map graph
It is known that for every integer k ≥ 4, each k-map graph with n vertices has at most kn − 2k edges. Previously, it was open whether this bound is tight or not. We show that ...
Zhi-Zhong Chen
ENDM
2002
91views more  ENDM 2002»
13 years 7 months ago
On minimally 3-connected graphs on a surface
It is well-known that the maximal size of minimally 3-connected graphs of order 7n is 93 -n . In this paper, we shall prove that if G is a minimally 3-connected graph of order n, ...
Katsuhiro Ota
INFOCOM
2009
IEEE
14 years 2 months ago
Greedy Routing with Bounded Stretch
—Greedy routing is a novel routing paradigm where messages are always forwarded to the neighbor that is closest to the destination. Our main result is a polynomial-time algorithm...
Roland Flury, Sriram V. Pemmaraju, Roger Wattenhof...
GD
2007
Springer
14 years 2 months ago
Constrained Simultaneous and Near-Simultaneous Embeddings
A geometric simultaneous embedding of two graphs G1 = (V1, E1) and G2 = (V2, E2) with a bijective mapping of their vertex sets γ : V1 → V2 is a pair of planar straightline drawi...
Fabrizio Frati, Michael Kaufmann, Stephen G. Kobou...
RTCSA
2005
IEEE
14 years 1 months ago
Deadline Spanning: A Graph Based Approach
Microkernel based systems tend to depend heavily on IPC. This paper adresses the problem of a system response spanning more than one task in an embedded real-time system. The appr...
Stefan M. Petters