Chen, YenTing ;
Tsai, MengTsung ;
Tsai, ShiChun
A Dichotomy Result for CyclicOrder Traversing Games
Abstract
Traversing game is a twoperson game played on a connected undirected simple graph with a source node and a destination node. A pebble is placed on the source node initially and then moves autonomously according to some rules. Alice is the player who wants to set up rules for each node to determine where to forward the pebble while the pebble reaches the node, so that the pebble can reach the destination node. Bob is the second player who tries to deter Alice's effort by removing edges. Given access to Alice's rules, Bob can remove as many edges as he likes, while retaining the source and destination nodes connected. Under the guide of Alice's rules, if the pebble arrives at the destination node, then we say Alice wins the traversing game; otherwise the pebble enters an endless loop without passing through the destination node, then Bob wins. We assume that Alice and Bob both play optimally.
We study the problem: When will Alice have a winning strategy? This actually models a routing recovery problem in Software Defined Networking in which some links may be broken. In this paper, we prove a dichotomy result for certain traversing games, called cyclicorder traversing games. We also give a lineartime algorithm to find the corresponding winning strategy, if one exists.
BibTeX  Entry
@InProceedings{chen_et_al:LIPIcs:2018:9977,
author = {YenTing Chen and MengTsung Tsai and ShiChun Tsai},
title = {{A Dichotomy Result for CyclicOrder Traversing Games}},
booktitle = {29th International Symposium on Algorithms and Computation (ISAAC 2018)},
pages = {29:129:13},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {9783959770941},
ISSN = {18688969},
year = {2018},
volume = {123},
editor = {WenLian Hsu and DerTsai Lee and ChungShou Liao},
publisher = {Schloss DagstuhlLeibnizZentrum fuer Informatik},
address = {Dagstuhl, Germany},
URL = {http://drops.dagstuhl.de/opus/volltexte/2018/9977},
URN = {urn:nbn:de:0030drops99775},
doi = {10.4230/LIPIcs.ISAAC.2018.29},
annote = {Keywords: stplanar graphs, biconnectivity, faulttolerant routing algorithms, software defined network}
}
2018
Keywords: 

stplanar graphs, biconnectivity, faulttolerant routing algorithms, software defined network 
Seminar: 

29th International Symposium on Algorithms and Computation (ISAAC 2018)

Issue date: 

2018 
Date of publication: 

2018 