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» Compressing Bounded Degree Graphs
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DM
2008
94views more  DM 2008»
14 years 9 months ago
On low degree k-ordered graphs
A simple graph G is k-ordered (respectively, k-ordered hamiltonian) if, for any sequence of k distinct vertices v1, . . . , vk of G, there exists a cycle (respectively, a hamilton...
Karola Mészáros
STOC
2003
ACM
171views Algorithms» more  STOC 2003»
15 years 10 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
338views Education» more  CORR 2010»
14 years 9 months ago
Optimal Distributed P2P Streaming under Node Degree Bounds
We study the problem of maximizing the broadcast rate in peer-to-peer (P2P) systems under node degree bounds, i.e., the number of neighbors a node can simultaneously connect to is ...
Shaoquan Zhang, Ziyu Shao, Minghua Chen
ISSAC
2007
Springer
112views Mathematics» more  ISSAC 2007»
15 years 3 months ago
G-graphs for the cage problem: a new upper bound
Constructing some regular graph with a given girth, a given degree and the fewest possible vertices is a hard problem. This problem is called the cage graph problem and has some l...
Alain Bretto, Luc Gillibert
COMGEO
2007
ACM
14 years 9 months ago
Graph drawings with few slopes
The slope-number of a graph G is the minimum number of distinct edge slopes in a straight-line drawing of G in the plane. We prove that for Δ 5 and all large n, there is a Δ-reg...
Vida Dujmovic, Matthew Suderman, David R. Wood