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COMBINATORICS
1999
95views more  COMBINATORICS 1999»
13 years 4 months ago
Maximum Degree Growth of the Iterated Line Graph
Let k denote the maximum degree of the kth iterated line graph Lk(G). For any connected graph G that is not a path, the inequality k+1 2k - 2 holds. Niepel, Knor, and Solt
Stephen G. Hartke, Aparna W. Higgins
IPPS
1999
IEEE
13 years 9 months ago
Sparse Hypercube: A Minimal k-Line Broadcast Graph
This paper proposes a method for reducing the maximum degree of vertices in graphs that maintain optimal broadcast time when a vertex can call a vertex at distance at most k durin...
Satoshi Fujita, Arthur M. Farley
COMBINATORICS
2006
124views more  COMBINATORICS 2006»
13 years 4 months ago
Bounded-Degree Graphs have Arbitrarily Large Geometric Thickness
Abstract. The geometric thickness of a graph G is the minimum integer k such that there is a straight line drawing of G with its edge set partitioned into k plane subgraphs. Eppste...
János Barát, Jirí Matousek, D...
WG
2005
Springer
13 years 10 months ago
On Stable Cutsets in Claw-Free Graphs and Planar Graphs
To decide whether a line graph (hence a claw-free graph) of maximum degree five admits a stable cutset has been proven to be an NP-complete problem. The same result has been known...
Van Bang Le, Raffaele Mosca, Haiko Müller
ATAL
2011
Springer
12 years 4 months ago
Maximum causal entropy correlated equilibria for Markov games
Motivated by a machine learning perspective—that gametheoretic equilibria constraints should serve as guidelines for predicting agents’ strategies, we introduce maximum causal...
Brian D. Ziebart, J. Andrew Bagnell, Anind K. Dey