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» On Planar Quasi-Parity Graphs
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ALGORITHMICA
2011
14 years 4 months ago
Crossing Number and Weighted Crossing Number of Near-Planar Graphs
A nonplanar graph G is near-planar if it contains an edge e such that G−e is planar. The problem of determining the crossing number of a near-planar graph is exhibited from diffe...
Sergio Cabello, Bojan Mohar
ENDM
2000
131views more  ENDM 2000»
14 years 9 months ago
Some Topological Methods in Graph Coloring Theory
Attempts to solve the famous Four Color Problem led to fruitful discoveries and rich coloring theories. In this talk, some old and some recent applications of tools from topology ...
Bojan Mohar
APVIS
2007
14 years 11 months ago
Straight-line grid drawings of planar graphs with linear area
A straight-line grid drawing of a planar graph G is a drawing of G on an integer grid such that each vertex is drawn as a grid point and each edge is drawn as a straight-line segm...
Md. Rezaul Karim, Md. Saidur Rahman
COCO
2007
Springer
114views Algorithms» more  COCO 2007»
15 years 4 months ago
Directed Planar Reachability is in Unambiguous Log-Space
We make progress in understanding the complexity of the graph reachability problem in the context of unambiguous logarithmic space computation; a restricted form of nondeterminism....
Chris Bourke, Raghunath Tewari, N. V. Vinodchandra...
FOCS
2009
IEEE
15 years 4 months ago
Higher Eigenvalues of Graphs
— We present a general method for proving upper bounds on the eigenvalues of the graph Laplacian. In particular, we show that for any positive integer k, the kth smallest eigenva...
Jonathan A. Kelner, James R. Lee, Gregory N. Price...