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JGT
2007
68views more  JGT 2007»
13 years 10 months ago
Forcing highly connected subgraphs
A well-known theorem of Mader [5] states that highly connected subgraphs can be forced in finite graphs by assuming a high minimum degree. Solving a problem of Diestel [2], we ex...
Maya Jakobine Stein
JGT
2010
117views more  JGT 2010»
13 years 8 months ago
An approximate version of Hadwiger's conjecture for claw-free graphs
Hadwiger’s conjecture states that every graph with chromatic number χ has a clique minor of size χ. In this paper we prove a weakened version of this conjecture for the class ...
Maria Chudnovsky, Alexandra Ovetsky Fradkin
INFOVIS
2005
IEEE
14 years 3 months ago
Visualization of Graphs with Associated Timeseries Data
The most common approach to support analysis of graphs with associated time series data include: overlay of data on graph vertices for one timepoint at a time by manipulating a vi...
Purvi Saraiya, Peter Lee, Chris North
DCOSS
2008
Springer
13 years 12 months ago
Local PTAS for Independent Set and Vertex Cover in Location Aware Unit Disk Graphs
We present the first local approximation schemes for maximum independent set and minimum vertex cover in unit disk graphs. In the graph model we assume that each node knows its geo...
Andreas Wiese, Evangelos Kranakis
DM
2008
137views more  DM 2008»
13 years 10 months ago
Nordhaus-Gaddum results for restrained domination and total restrained domination in graphs
Let G = (V, E) be a graph. A set S V is a total restrained dominating set if every vertex is adjacent to a vertex in S and every vertex of V - S is adjacent to a vertex in V - S....
Johannes H. Hattingh, Elizabeth Jonck, Ernst J. Jo...