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» A note on degree-constrained subgraphs
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DM
2006
54views more  DM 2006»
13 years 5 months ago
A note on interconnecting matchings in graphs
We prove a sufficient condition for a graph G to have a matching that interconnects all the components of a disconnected spanning subgraph of G. The condition is derived from a re...
Tomás Kaiser
DM
2000
150views more  DM 2000»
13 years 5 months ago
A note on generalized chromatic number and generalized girth
Erdos proved that there are graphs with arbitrarily large girth and chromatic number. We study the extension of this for generalized chromatic numbers. Generalized graph coloring d...
Béla Bollobás, Douglas B. West
EJC
2002
13 years 5 months ago
Neighbourhood Graphs of Cayley Graphs for Finitely-generated Groups
In this short note the neighbourhood graph of a Cayley graph is considered. It has as nodes a symmetric generating set of a finitely-generated group . Two nodes are connected by a...
Markus Neuhauser
SIAMDM
1998
95views more  SIAMDM 1998»
13 years 5 months ago
The Graphs with All Subgraphs T-Perfect
The richest class of t-perfect graphs known so far consists of the graphs with no so-called odd-K4. Clearly, these graphs have the special property that they are hereditary t-perfe...
A. M. H. Gerards, F. Bruce Shepherd
FOCS
2008
IEEE
14 years 7 days ago
Beating the Random Ordering is Hard: Inapproximability of Maximum Acyclic Subgraph
We prove that approximating the Max Acyclic Subgraph problem within a factor better than 1/2 is Unique-Games hard. Specifically, for every constant ε > 0 the following holds:...
Venkatesan Guruswami, Rajsekar Manokaran, Prasad R...