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» Maximum Degree Growth of the Iterated Line Graph
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101
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COMBINATORICS
1999
95views more  COMBINATORICS 1999»
14 years 10 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
15 years 2 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
98
Voted
COMBINATORICS
2006
124views more  COMBINATORICS 2006»
14 years 10 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
15 years 3 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
13 years 10 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