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Title
The game of zombies and survivors on cartesian products of graphs
Source
ArXiv
Date
2018
Author
Fitzpatrick, S.L.
Genre
Journal Article
Abstract
We consider the game of Zombies and Survivors as introduced by Fitzpatrick, Howell, Messinger and Pike (2016) This is a variation of the game Cops...
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Title
The game of Cops and Robber on circulant graphs
Source
Discrete Applied Mathematics
Date
2017
Author
Fitzpatrick, Shannon L.; Larkin, John Paul
Genre
Journal Article
Volume
225
Start Page
64
DOI
10.1016/j.dam.2017.03.004
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Title
Burning circulant graphs
Source
ArXiv
Date
2017
Author
Fitzpatrick, Shannon; Wilm, Leif
Genre
Journal Article
Volume
1706.03106
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Title
Limited visibility Cops and Robber
Source
ArXiv
Date
2017
Author
Clarke, N.E.; Cox, D.; Duffy, C.; Dyer, D.; Fitzpatrick, S.
Genre
Journal Article
Abstract
We consider a variation of the Cops and Robber game where the cops can only see the robber when the distance between them is at most a fixed...
Volume
1708.07179
DOI
10.1016/j.dam.2019.12.007
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Title
Limited visibility cops and robber
Source
Discrete Applied Mathematics
Date
2017
Author
Clarke, N.E.; Cox, D.; Duffy, C.; Dyer, D.; Fitzpatrick, S.L.; Messinger, M.E.
Genre
Journal Article
Abstract
We consider a variation of the Cops and Robber game where the cops can only see the robber when the distance between them is at most a fixed...
Volume
282
Start Page
53
DOI
10.1016/j.dam.2019.12.007
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Title
A deterministic version of the game of zombies and survivors on graphs
Source
Discrete Applied Mathematics
Date
2016
Author
Fitzpatrick, S.L.; Howell, J.; Messinger, M.E.; Pike, D.A.
Genre
Journal Article
Volume
213
Start Page
1
DOI
10.1016/j.dam.2016.06.019
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Title
A note on the Grundy number and graph products
Source
Discrete Applied Mathematics
Date
2016
Author
Clarke, Nancy E.; Finbow, Stephen; Fitzpatrick, Shannon; Messinger, Margaret-Ellen; Milley, Rebecca; Nowakowski, Richard J.
Genre
Journal Article
Volume
202
Start Page
1
DOI
10.1016/j.dam.2015.08.018
Full Text
Bookmarks:
Title
Edge contraction and cop-win critical graphs
Source
Australasian Journal of Combinatorics
Date
2015
Author
Cameron, Ben; Fitzpatrick, Shannon
Genre
Journal Article
Abstract
The problem is to determine the number of ‘cops’ needed to capture a ‘robber’ where the game is played with perfect information, the different...
Volume
63
Start Page
70
Publication Status
PUBLISHED
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Title
Edge-critical cops and robber in planar graphs
Source
Discrete Mathematics
Date
2014
Author
Fitzpatrick, Shannon L.
Genre
Journal Article
Abstract
The problem is to determine the number of ‘cops’ needed to capture a ‘robber’ in a game in which the cops always know the location of the robber,...
Volume
329
Start Page
1
DOI
10.1016/j.disc.2014.03.006
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Title
A note on bounds for the cop number using tree decompositions
Source
arXiv
Date
2013
Author
Bonato, Anthony; Clarke, N. E.; Finbow, S.; Fitzpatrick, S.; Messinger, M. E.
Genre
Journal Article
Volume
1308.2839
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Bookmarks:
Title
Well paired-dominated graphs
Source
Journal of Combinatorial Optimization
Date
2010
Author
Fitzpatrick, S. L.; Hartnell, B. L.
Genre
Journal Article
Volume
20
Issue
2
Start Page
194
DOI
10.1007/s10878-008-9203-8
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Title
Edge critical cops and robber
Source
Discrete Mathematics
Date
2010
Author
Clarke, N. E.; Fitzpatrick, S. L.; Hill, A.; Nowakowski, R. J.
Genre
Journal Article
Volume
310
Issue
17-18
Start Page
2299
DOI
10.1016/j.disc.2010.05.004
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Bookmarks:
Title
Seepage in directed acyclic graphs
Source
Australasian Journal of Combinatorics
Date
2009
Author
Clarke, N. E; Finbow, S.; Fitzpatrick, S. L.; Messenger, M. E.; Nowakowski, R. J.
Genre
Journal Article
Volume
43
Start Page
91
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Bookmarks:
Title
Fractional isometric path number
Source
Australasian Journal of Combinatorics
Date
2006
Author
Fitzpatrick, Shannon L.; Janssen, Jeannette; Nowakowski, Richard J.
Genre
Journal Article
Volume
34
Start Page
281
Full Text
Bookmarks:
Title
Lower bounds from tile covers for the channel assignment problem
Source
SIAM Journal on Discrete Mathematics
Date
2005
Author
Janssen, J. C. M.; Wentzell, T. E.; Fitzpatrick, S. L.
Genre
Journal Article
Volume
18
Issue
4
Start Page
679
DOI
10.1137/S0895480101384402
Publication Status
PUBLISHED
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Bookmarks:
Title
Non 3-choosable bipartite graphs and the Fano plane
Source
Ars Combinatoria
Date
2005
Author
Fitzpatrick, Shannon L.; MacGillivray, G.
Genre
Journal Article
Abstract
It is known that the smallest complete bipartite graph which is not 3-choosable has 14 vertices. We show that the extremal configuration is unique.
Volume
76
Start Page
113
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Bookmarks:
Title
Distributive online channel assignment for hexagonal cellular networks with constraints
Source
Discrete Applied Mathematics
Date
2004
Author
Fitzpatrick, Shannon; Janssen, Jeannette; Nowakowski, Richard
Genre
Journal Article
Volume
143
Issue
1-3
Start Page
84
DOI
10.1016/j.dam.2003.06.005
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Bookmarks:
Title
Distributive online channel assignment for hexagonal cellular networks with constraints
Source
Discrete Applied Mathematics
Date
2004
Author
Fitzpatrick, S.; Jeannen, J.; Nowakowski, R.
Genre
Journal Article
Abstract
In cellular networks, channels must be assigned to call requests so that interference constraints are respected and bandwidth is minimized. The...
Volume
143
Issue
1-3
Start Page
84
DOI
10.1016/j.dam.2003.06.005
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Bookmarks:
Title
Total domination in complements of graphs containing no K4,4
Source
Discrete Mathematics
Date
2002
Author
Fitzpatrick, Shannon; MacGillivray, Gary; McCrea, Devon
Genre
Journal Article
Volume
254
Issue
1-3
Start Page
143
DOI
10.1016/S0012-365X(01)00369-7
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Bookmarks:
Title
Covering hypercubes by isometric paths
Source
Discrete Mathematics
Date
2001
Author
Fitzpatrick, Shannon L.; Nowakowski, Richard J.; Holton, Derek; Caines, Ian
Genre
Journal Article
Volume
240
Issue
1-3
Start Page
253
DOI
10.1016/S0012-365X(01)00197-2

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