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CPHYSICS
2011
271views Education» more  CPHYSICS 2011»
12 years 11 months ago
A dedicated algorithm for calculating ground states for the triangular random bond Ising model
In the presented article we present an algorithm for the computation of ground state spin configurations for the 2d random bond Ising model on planar triangular lattice graphs. T...
O. Melchert, A. K. Hartmann
JCT
2006
81views more  JCT 2006»
13 years 7 months ago
Independent sets in triangle-free cubic planar graphs
: We prove that every triangle-free planar graph on n vertices with maximum degree three has an independent set with size at least 3 8 n. This was suggested and later conjectured b...
Christopher Carl Heckman, Robin Thomas
DM
2002
104views more  DM 2002»
13 years 7 months ago
4-connected maximal planar graphs are 4-ordered
It is shown that in a 4-connected maximal planar graph there is for any four vertices a, b, c and d, a cycle in the graph that contains the four vertices and visits them in the or...
Wayne Goddard
CCCG
2009
13 years 8 months ago
Planar Packing of Diameter-Four Trees
We prove that, for every two n-node non-star trees of diameter at most four, there exists an n-node planar graph containing them as edge-disjoint subgraphs.
Fabrizio Frati
SIAMDM
2010
136views more  SIAMDM 2010»
13 years 2 months ago
Obnoxious Centers in Graphs
We consider the problem of finding obnoxious centers in graphs. For arbitrary graphs with n vertices and m edges, we give a randomized algorithm with O(n log2 n + m log n) expecte...
Sergio Cabello, Günter Rote