Sciweavers

1729 search results - page 18 / 346
» On Bounds for the k-Partitioning of Graphs
Sort
View
JGT
2006
73views more  JGT 2006»
14 years 9 months ago
Nearly light cycles in embedded graphs and crossing-critical graphs
We find a lower bound for the proportion of face boundaries of an embedded graph that are nearly
Mario Lomelí, Gelasio Salazar
GD
2009
Springer
14 years 7 months ago
Algebraic Methods for Counting Euclidean Embeddings of Rigid Graphs
Abstract. The study of (minimally) rigid graphs is motivated by numerous applications, mostly in robotics and bioinformatics. A major open problem concerns the number of embeddings...
Ioannis Z. Emiris, Elias P. Tsigaridas, Antonios V...
ISSAC
2007
Springer
112views Mathematics» more  ISSAC 2007»
15 years 3 months ago
G-graphs for the cage problem: a new upper bound
Constructing some regular graph with a given girth, a given degree and the fewest possible vertices is a hard problem. This problem is called the cage graph problem and has some l...
Alain Bretto, Luc Gillibert
MFCS
2004
Springer
15 years 3 months ago
The Bidimensional Theory of Bounded-Genus Graphs
Abstract. Bidimensionality provides a tool for developing subexponential fixed-parameter algorithms for combinatorial optimization problems on graph families that exclude a minor....
Erik D. Demaine, Mohammad Taghi Hajiaghayi, Dimitr...
STOC
2004
ACM
73views Algorithms» more  STOC 2004»
15 years 10 months ago
Spectral partitioning, eigenvalue bounds, and circle packings for graphs of bounded genus
In this paper, we address two longstanding questions about finding good separators in graphs of bounded genus and degree:
Jonathan A. Kelner