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» A Planar Linear Arboricity Conjecture
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77
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CIAC
2010
Springer
258views Algorithms» more  CIAC 2010»
15 years 9 months ago
A Planar Linear Arboricity Conjecture
The linear arboricity la(G) of a graph G is the minimum number of linear forests that partition the edges of G. In 1984, Akiyama et al. [1] stated the Linear Arboricity Conjecture...
Marek Cygan, Lukasz Kowalik, Borut Luzar
IPL
2007
101views more  IPL 2007»
15 years 1 hour ago
Adjacency queries in dynamic sparse graphs
We deal with the problem of maintaining a dynamic graph so that queries of the form “is there an edge between u and v?” are processed fast. We consider graphs of bounded arbor...
Lukasz Kowalik
DM
2010
144views more  DM 2010»
15 years 5 days ago
Balanced Cayley graphs and balanced planar graphs
A balanced graph is a bipartite graph with no induced circuit of length 2 (mod 4). These graphs arise in linear programming. We focus on graph-algebraic properties of balanced gra...
Joy Morris, Pablo Spiga, Kerri Webb
FOCS
2008
IEEE
15 years 6 months ago
Embeddings of Topological Graphs: Lossy Invariants, Linearization, and 2-Sums
We study the properties of embeddings, multicommodity flows, and sparse cuts in minor-closed families of graphs which are also closed under 2-sums; this includes planar graphs, g...
Amit Chakrabarti, Alexander Jaffe, James R. Lee, J...
90
Voted
WADS
2009
Springer
202views Algorithms» more  WADS 2009»
15 years 6 months ago
Minimal Locked Trees
Locked tree linkages have been known to exist in the plane since 1998, but it is still open whether they have a polynomial-time characterization. This paper examines the properties...
Brad Ballinger, David Charlton, Erik D. Demaine, M...