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BIRTHDAY
2010
Springer
15 years 28 days ago
Fixed-Point Definability and Polynomial Time on Chordal Graphs and Line Graphs
The question of whether there is a logic that captures polynomial time was formulated by Yuri Gurevich in 1988. It is still wide open and regarded as one of the main open problems...
Martin Grohe
DM
2007
103views more  DM 2007»
14 years 11 months ago
Minimum cycle bases of graphs on surfaces
In this paper we study the cycle base structures of embedded graphs on surfaces. We first give a sufficient and necessary condition for a set of facial cycles to be contained in ...
Han Ren, Mo Deng
DM
2011
223views Education» more  DM 2011»
14 years 6 months ago
On graph equivalences preserved under extensions
Let G be the set of finite graphs whose vertices belong to some fixed countable set, and let ≡ be an equivalence relation on G. By the strengthening of ≡ we mean an equivalen...
Zbigniew Lonc, Miroslaw Truszczynski
STACS
2001
Springer
15 years 4 months ago
Evasiveness of Subgraph Containment and Related Properties
We prove new results on evasiveness of monotone graph properties by extending the techniques of Kahn, Saks, and Sturtevant [Combinatorica, 4 (1984), pp. 297–306]. For the propert...
Amit Chakrabarti, Subhash Khot, Yaoyun Shi
COMPGEOM
1993
ACM
15 years 3 months ago
Worst-Case Bounds for Subadditive Geometric Graphs
We consider graphs such as the minimum spanning tree, minimum Steiner tree, minimum matching, and traveling salesman tour for n points in the d-dimensional unit cube. For each of ...
Marshall W. Bern, David Eppstein