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JCT
2008
79views more  JCT 2008»
13 years 7 months ago
Packing d-degenerate graphs
We study packings of graphs with given maximal degree. We shall prove that the (hitherto unproved) Bollob
Béla Bollobás, Alexandr V. Kostochka...
ENDM
2010
127views more  ENDM 2010»
13 years 7 months ago
MPQ-trees for orthogonal packing problem
Finding a feasible solution for a bi-dimensional Orthogonal Packing Problem (OPP2) consists in deciding whether a set of rectangular boxes (items) can be packed in a "big&quo...
Cédric Joncour, Arnaud Pêcher, Petru ...
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
COMBINATORICS
2007
72views more  COMBINATORICS 2007»
13 years 7 months ago
On Self-Complementary Cyclic Packing of Forests
A graph is self-complementary if it is isomorphic to its complement. In this paper we prove that every forest of order 4p and size less than 3p is a subgraph of a self-complementa...
A. Pawel Wojda, Mariusz Wozniak, Irmina A. Ziolo
CORR
2011
Springer
138views Education» more  CORR 2011»
13 years 2 months ago
On the resilience of Hamiltonicity and optimal packing of Hamilton cycles in random graphs
Let k = (k1, . . . , kn) be a sequence of n integers. For an increasing monotone graph property P we say that a base graph G = ([n], E) is k-resilient with respect to P if for eve...
Sonny Ben-Shimon, Michael Krivelevich, Benny Sudak...