Correction: Basic network creation games

Noga Alon; Erik D. Demaine; Mohammadtaghi Hajiaghayi; Panagiotis Kanellopoulos; Tom Leighton

doi:10.1137/140955343

Correction: Basic network creation games

Noga Alon, Erik D. Demaine, Mohammadtaghi Hajiaghayi, Panagiotis Kanellopoulos, Tom Leighton

Mathematics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

We prove a previously stated but incorrectly proved theorem: there is a diameter-3 graph in which replacing any edge {v, w} of the graph with {v, w′}, for any vertex w′, does not decrease the total sum of distances from v to all other nodes (a property called sum equilibrium).

Original language	English (US)
Pages (from-to)	1638-1640
Number of pages	3
Journal	SIAM Journal on Discrete Mathematics
Volume	28
Issue number	3
DOIs	https://doi.org/10.1137/140955343
State	Published - 2014

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

Nash equilibrium
Network design
Price of anarchy
Routing

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10.1137/140955343

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title = "Correction: Basic network creation games",

abstract = "We prove a previously stated but incorrectly proved theorem: there is a diameter-3 graph in which replacing any edge \{v, w\} of the graph with \{v, w′\}, for any vertex w′, does not decrease the total sum of distances from v to all other nodes (a property called sum equilibrium).",

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author = "Noga Alon and Demaine, \{Erik D.\} and Mohammadtaghi Hajiaghayi and Panagiotis Kanellopoulos and Tom Leighton",

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year = "2014",

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T2 - Basic network creation games

AU - Alon, Noga

AU - Demaine, Erik D.

AU - Hajiaghayi, Mohammadtaghi

AU - Kanellopoulos, Panagiotis

AU - Leighton, Tom

PY - 2014

Y1 - 2014

N2 - We prove a previously stated but incorrectly proved theorem: there is a diameter-3 graph in which replacing any edge {v, w} of the graph with {v, w′}, for any vertex w′, does not decrease the total sum of distances from v to all other nodes (a property called sum equilibrium).

AB - We prove a previously stated but incorrectly proved theorem: there is a diameter-3 graph in which replacing any edge {v, w} of the graph with {v, w′}, for any vertex w′, does not decrease the total sum of distances from v to all other nodes (a property called sum equilibrium).

KW - Nash equilibrium

KW - Network design

KW - Price of anarchy

KW - Routing

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DO - 10.1137/140955343

M3 - Article

AN - SCOPUS:84907983755

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JO - SIAM Journal on Discrete Mathematics

JF - SIAM Journal on Discrete Mathematics

IS - 3

ER -

Correction: Basic network creation games

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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