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» Characterizing path graphs by forbidden induced subgraphs
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MSN
2007
Springer
14 years 1 months ago
Distributed Computation of Maximum Lifetime Spanning Subgraphs in Sensor Networks
Abstract. We present a simple and efficient distributed method for determining the transmission power assignment that maximises the lifetime of a data-gathering wireless sensor net...
Harri Haanpää, André Schumacher, ...
ISAAC
2004
Springer
94views Algorithms» more  ISAAC 2004»
14 years 21 days ago
Error Compensation in Leaf Root Problems
The k-Leaf Root problem is a particular case of graph power problems. Here, we study “error correction” versions of k-Leaf Root—that is, for instance, adding or deleting at m...
Michael Dom, Jiong Guo, Falk Hüffner, Rolf Ni...
CSE
2009
IEEE
14 years 2 months ago
Structure of Neighborhoods in a Large Social Network
Abstract—We present here a method for analyzing the neighborhoods of all the vertices in a large graph. We first give an algorithm for characterizing a simple undirected graph t...
Alina Stoica, Christophe Prieur
ALGORITHMICA
2010
137views more  ALGORITHMICA 2010»
13 years 5 months ago
Deciding k-Colorability of P5-Free Graphs in Polynomial Time
The problem of computing the chromatic number of a P5-free graph (a graph which contains no path on 5 vertices as an induced subgraph) is known to be NP-hard. However, we show tha...
Chính T. Hoàng, Marcin Kaminski, Vad...
ORDER
2011
13 years 2 months ago
Strict Betweennesses Induced by Posets as well as by Graphs
For a finite poset P = (V, ≤), let Bs(P) consist of all triples (x, y, z) ∈ V 3 such that either x < y < z or z < y < x. Similarly, for every finite, simple, and...
Dieter Rautenbach, Philipp Matthias Schäfer