Every Planar Map Is Four Colorable

Mathematical Solitaires & Games ◽

10.4324/9781315224169-31 ◽

2019 ◽

pp. 145-152

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Random Boundary of a Planar Map

Mathematics and Computer Science II ◽

10.1007/978-3-0348-8211-8_5 ◽

2002 ◽

pp. 83-93 ◽

Author(s):

Maxim Krikun ◽

Vadim Malyshev

Keyword(s):

Random Boundary ◽

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Analytic invariant curves for a planar map

Applied Mathematics Letters ◽

10.1016/s0893-9659(02)80008-8 ◽

2002 ◽

Vol 15 (5) ◽

pp. 567-573 ◽

Author(s):

Jian-Guo Si ◽

Xin-Ping Wang ◽

Wei-Nian Zhang

Keyword(s):

Invariant Curves ◽

Analytic Invariant

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Optimizing next-generation cloud gaming platforms with planar map streaming and distributed rendering

2017 15th Annual Workshop on Network and Systems Support for Games (NetGames) ◽

10.1109/netgames.2017.7991544 ◽

2017 ◽

Author(s):

Pin-Chun Wang ◽

Apollo I. Ellis ◽

John C. Hart ◽

Cheng-Hsin Hsu

Keyword(s):

Next Generation ◽

Distributed Rendering

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Planar Map Generation by Parallel Binary Fission/Fusion Grammars

The Book of L ◽

10.1007/978-3-642-95486-3_3 ◽

1986 ◽

pp. 29-43 ◽

Author(s):

Jack W. Carlyle ◽

Sheila A. Greibach ◽

Azaria Paz

Keyword(s):

Binary Fission ◽

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Every planar map is four colorable. Part II: Reducibility

Illinois Journal of Mathematics ◽

10.1215/ijm/1256049012 ◽

1977 ◽

Vol 21 (3) ◽

pp. 491-567 ◽

Author(s):

K. Appel ◽

W. Haken ◽

J. Koch

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An Algorithm which Generates the Hamiltonian Circuits of a Cubic Planar Map

Journal of the London Mathematical Society ◽

10.1112/jlms/s2-18.2.193 ◽

1978 ◽

Vol s2-18 (2) ◽

pp. 193-201

Author(s):

W. L. Price

Keyword(s):

Hamiltonian Circuits

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The Existence of Analytic Invariant Curves for a Planar Map

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.225-226.1274 ◽

2011 ◽

Vol 225-226 ◽

pp. 1274-1278

Author(s):

Ling Xia Liu

Keyword(s):

Fixed Point ◽

Two Dimensional ◽

Complex Field ◽

Invariant Curves ◽

Majorant Series ◽

Brjuno Condition ◽

Analytic Invariant

In this paper, we study the existence of analytic invariant curves for two-dimensional maps in the complex field C. Employing the method of majorant series, we discuss the eigenvalueof the mapping at a fixed point. We discuss not only thoseat resonance, i.e., at a root of the unity but also thosenear resonance under Brjuno condition.

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Dynamic planar map illustration

ACM Transactions on Graphics ◽

10.1145/1276377.1276415 ◽

2007 ◽

Vol 26 (3) ◽

pp. 30 ◽

Author(s):

Paul Asente ◽

Mike Schuster ◽

Teri Pettit

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EVERY PLANAR MAP IS FOUR COLORABLE

Bulletin of the London Mathematical Society ◽

10.1112/blms/23.1.89 ◽

1991 ◽

Vol 23 (1) ◽

pp. 89-90

Author(s):

Robin J. Wilson

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A Continuous Planar Map With Many Periodic Points

Applied Mathematics and Computation ◽

10.1016/0096-3003(81)90032-1 ◽

1981 ◽

Vol 8 (1) ◽

pp. 17-33 ◽

Author(s):

Thomas D. Rogers ◽

Bruce L. Clarke

Keyword(s):

Periodic Points ◽

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