Algorithms for core stability, core largeness, exactness, and extendability of flow games

Fang, Qizhi and Fleischer, Rudolf and Li, Jian and Sun, Xiaoxun (2007) Algorithms for core stability, core largeness, exactness, and extendability of flow games. In: COCOON 2007: 13th Annual International Computing and Combinatorics Conference, 16-19 Jul 2007, Banff, Canada.

Abstract

In this paper, we give linear time algorithms to decide core
stability, core largeness, exactness, and extendability of flow games on uniform networks (all edge capacities are 1). We show that a uniform flow game has a stable core if and only if the network is a balanced DAG (for all non-terminal vertices, indegree equals outdegree), which can be decided in linear time. Then we show that uniform flow games are exact, extendable, and have a large core if and only if the network is a balanced directed series-parallel graph, which again can be decided in linear time.

Statistics for this ePrint Item

Item Type:	Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)
Refereed:	Yes
Item Status:	Live Archive
Additional Information:	Series title: Lecture Notes in Computer Science, vol. 4598
Faculty/School / Institute/Centre:	Historic - Faculty of Sciences - Department of Maths and Computing (Up to 30 Jun 2013)
Faculty/School / Institute/Centre:	Historic - Faculty of Sciences - Department of Maths and Computing (Up to 30 Jun 2013)
Date Deposited:	03 Jun 2016 06:32
Last Modified:	03 Jun 2016 06:32
Uncontrolled Keywords:	algorithms; computer graphics; linear programming; flow games; linear time algorithms; game theory
Fields of Research (2008):	01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010301 Numerical Analysis 08 Information and Computing Sciences > 0802 Computation Theory and Mathematics > 080201 Analysis of Algorithms and Complexity 08 Information and Computing Sciences > 0801 Artificial Intelligence and Image Processing > 080103 Computer Graphics
Fields of Research (2020):	49 MATHEMATICAL SCIENCES > 4903 Numerical and computational mathematics > 490302 Numerical analysis 46 INFORMATION AND COMPUTING SCIENCES > 4613 Theory of computation > 461399 Theory of computation not elsewhere classified 46 INFORMATION AND COMPUTING SCIENCES > 4607 Graphics, augmented reality and games > 460702 Computer graphics
Socio-Economic Objectives (2008):	B Economic Development > 89 Information and Communication Services > 8902 Computer Software and Services > 890203 Computer Gaming Software
Identification Number or DOI:	https://doi.org/10.1007/978-3-540-73545-8_43
URI:	http://eprints.usq.edu.au/id/eprint/21964

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