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» Linearly bounded infinite graphs
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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...
APVIS
2007
15 years 1 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
ECCC
2000
75views more  ECCC 2000»
14 years 11 months ago
Deterministic Turing Machines in the Range between Real-Time and Linear-Time
Deterministic k-tape and multitape Turing machines with one-way, two-way and without a separated input tape are considered. We investigate the classes of languages acceptable by s...
Andreas Klein, Martin Kutrib
DM
2008
86views more  DM 2008»
14 years 11 months ago
Hamiltonian properties of triangular grid graphs
A triangular grid graph is a finite induced subgraph of the infinite graph associated with the two-dimensional triangular grid. In 2000, Reay and Zamfirescu showed that all 2-conne...
Valery S. Gordon, Yury L. Orlovich, Frank Werner
DM
2008
94views more  DM 2008»
14 years 11 months ago
On low degree k-ordered graphs
A simple graph G is k-ordered (respectively, k-ordered hamiltonian) if, for any sequence of k distinct vertices v1, . . . , vk of G, there exists a cycle (respectively, a hamilton...
Karola Mészáros