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JGT
2007
68views more  JGT 2007»
13 years 5 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
MOBIHOC
2002
ACM
14 years 5 months ago
On the minimum node degree and connectivity of a wireless multihop network
This paper investigates two fundamental characteristics of a wireless multihop network: its minimum node degree and its k?connectivity. Both topology attributes depend on the spat...
Christian Bettstetter
DM
2010
115views more  DM 2010»
13 years 6 months ago
Edge colouring by total labellings
We introduce the concept of an edge-colouring total k-labelling. This is a labelling of the vertices and the edges of a graph G with labels 1, 2, . . . , k such that the weights o...
Stephan Brandt, Kristína Budajová, D...
STOC
2003
ACM
171views Algorithms» more  STOC 2003»
14 years 6 months ago
Primal-dual meets local search: approximating MST's with nonuniform degree bounds
We present a new bicriteria approximation algorithm for the degree-bounded minimum-cost spanning tree problem: Given an undirected graph with nonnegative edge weights and degree b...
Jochen Könemann, R. Ravi
CORR
2010
Springer
137views Education» more  CORR 2010»
13 years 6 months ago
Local algorithms in (weakly) coloured graphs
A local algorithm is a distributed algorithm that completes after a constant number of synchronous communication rounds. We present local approximation algorithms for the minimum ...
Matti Åstrand, Valentin Polishchuk, Joel Ryb...