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DIALM
2003
ACM
175views Algorithms» more  DIALM 2003»
15 years 11 months ago
Localized construction of bounded degree and planar spanner for wireless ad hoc networks
We propose a novel localized algorithm that constructs a bounded degree and planar spanner for wireless ad hoc networks modeled by unit disk graph (UDG). Every node only has to kn...
Yu Wang 0003, Xiang-Yang Li
GC
2008
Springer
15 years 6 months ago
Domination in Graphs of Minimum Degree at least Two and Large Girth
We prove that for graphs of order n, minimum degree 2 and girth g 5 the domination number satisfies 1 3 + 2 3g n. As a corollary this implies that for cubic graphs of order n ...
Christian Löwenstein, Dieter Rautenbach
COCOON
2005
Springer
15 years 11 months ago
Bounded Degree Closest k-Tree Power Is NP-Complete
Abstract. An undirected graph G = (V, E) is the k-power of an undirected tree T = (V, E ) if (u, v) ∈ E iff u and v are connected by a path of length at most k in T. The tree T ...
Michael Dom, Jiong Guo, Rolf Niedermeier
TCS
2008
15 years 5 months ago
Game chromatic index of graphs with given restrictions on degrees
Given a graph G and an integer k, two players alternatively color the edges of G using k colors so that adjacent edges get different colors. The game chromatic index g(G) is the m...
Andrew Beveridge, Tom Bohman, Alan M. Frieze, Oleg...
CSL
2009
Springer
16 years 17 days ago
Automatic Structures of Bounded Degree Revisited
Abstract. It it shown that the first-order theory of an automatic structure, whose Gaifman graph has bounded degree, is decidable in doubly exponential space (for injective automa...
Dietrich Kuske, Markus Lohrey