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» On the graph isomorphism problem
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EJC
2002
15 years 4 months ago
On the Natural Imprint Function of a Graph
A subgraph H of a graph G is gated if for every x V(G) there exists a vertex u in H such that dG (x, v) = dG (x, u) + d G (u, v) for any v V(H). The gated amalgam of graphs G 1 an...
Bostjan Bresar
COMBINATORICS
2006
126views more  COMBINATORICS 2006»
15 years 4 months ago
The Induced Subgraph Order on Unlabelled Graphs
A differential poset is a partially ordered set with raising and lowering operators U and D which satisfy the commutation relation DU-UD = rI for some constant r. This notion may ...
Craig A. Sloss
DM
2011
223views Education» more  DM 2011»
14 years 11 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
CORR
2006
Springer
144views Education» more  CORR 2006»
15 years 4 months ago
The minimum linear arrangement problem on proper interval graphs
We present a linear time algorithm for the minimum linear arrangement problem on proper interval graphs. The obtained ordering is a 4-approximation for general interval graphs. 1 ...
Ilya Safro
153
Voted
STACS
2001
Springer
15 years 9 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