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» On Planar Quasi-Parity Graphs
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JGT
2007
73views more  JGT 2007»
15 years 6 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
182
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APPROX
2008
Springer
184views Algorithms» more  APPROX 2008»
15 years 8 months ago
Approximately Counting Embeddings into Random Graphs
Let H be a graph, and let CH(G) be the number of (subgraph isomorphic) copies of H contained in a graph G. We investigate the fundamental problem of estimating CH(G). Previous res...
Martin Fürer, Shiva Prasad Kasiviswanathan
ALGORITHMICA
2002
109views more  ALGORITHMICA 2002»
15 years 6 months ago
A Near-Linear Area Bound for Drawing Binary Trees
We present several simple methods to construct planar, strictly upward, strongly order-preserving, straight-line drawings of any n-node binary tree. In particular, it is shown that...
Timothy M. Chan
IWPEC
2009
Springer
16 years 19 days ago
What Makes Equitable Connected Partition Easy
We study the Equitable Connected Partition problem, which is the problem of partitioning a graph into a given number of partitions, such that each partition induces a connected sub...
Rosa Enciso, Michael R. Fellows, Jiong Guo, Iyad A...
GD
2007
Springer
16 years 7 days 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...