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International Journal of Computer Mathematics Volume 87, 2010 - Issue 13
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Section A

On deriving explicit formulas of the surface areas for the arrangement graphs and some of the related graphs

Eddie Cheng Department of Mathematics and Statistics, Oakland University , Rochester, MI, 48309, USA
,
Ke Qiu Department of Computer Science, Brock University , St. Catharines, Ontario, Canada, L2S 3A1
&
Zhizhang Shen Department of Computer Science and Technology, Plymouth State University , Plymouth, NH, 03264, USA
Pages 2903-2914 | Received 21 Jul 2008, Accepted 19 Jun 2009, Published online: 08 Oct 2010

Citations (10)

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Read on this site (1)

Eddie Cheng, Ke Qiu & Zhizhang Shen. (2014) Length two path-centred surface areas for the arrangement graph. International Journal of Computer Mathematics 91:6, pages 1170-1189.
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Articles from other publishers (9)

Ethan Gibbons & Ke Qiu. (2024) A recurrence for the surface area of the (n,k)$$ \left(n,k\right) $$‐star graph. Concurrency and Computation: Practice and Experience 36:12.
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Ethan Gibbons & Ke Qiu. (2022) A Recurrence for the Surface Area of the ($n, k$)-Star Graph. A Recurrence for the Surface Area of the ($n, k$)-Star Graph.
EDDIE CHENG & OMER SIDDIQUI. (2016) Strong Matching Preclusion of Arrangement Graphs. Journal of Interconnection Networks 16:02, pages 1650004.
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Eddie Cheng, Ke Qiu & Zhizhang Shen. (2016) Length two path centered surface areas of the (n, k)-star graph. Information Sciences 332, pages 115-130.
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Eddie Cheng, Ke Qiu & Zhizhang Shen. (2014) Deriving length two path centered surface area for the arrangement graph: a generating function approach. The Journal of Supercomputing 68:3, pages 1241-1264.
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Eddie Cheng, Ke Qiu & Zhizhang Shen. (2013) The edge-centered surface area of the arrangement graph. Journal of Combinatorial Optimization 27:1, pages 49-64.
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Eddie Cheng, Jerrold W. Grossman, Ke Qiu & Zhizhang Shen. (2013) The number of shortest paths in the arrangement graph. Information Sciences 240, pages 191-204.
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Eddie Cheng, Ke Qiu & Zhizhang Shen. 2012. Combinatorial Optimization and Applications. Combinatorial Optimization and Applications 49 60 .
Eddie Cheng, Marc J. Lipman, László Lipták & David Sherman. (2011) Conditional matching preclusion for the arrangement graphs. Theoretical Computer Science 412:45, pages 6279-6289.
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