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On Node Ranking of Graphs under Strong Orientation

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The 24th Workshop on Combinatorial Mathematics and Computation Theory[7] M. Katchalski, W. McCuaig, and S. Seager,“Ordered colorings,” Discrete Mathematics142, pp. 141-154, 1995.[8] Yung-Ling Lai, Yi-Ming Chen, March 1-3,2007, “<strong>On</strong> <strong>Node</strong> <strong>Ranking</strong> <strong>of</strong> Complete r-partite<strong>Graphs</strong>”, International Conference onMathematics and Computer Science, Chennai,India.[9] C.E. Leiserson, “Area-efficient graph layouts(for VLSI),” Proceedings <strong>of</strong> the 21st AnnualIEEE Symposium on Foundations <strong>of</strong> ComputerScience, pp. 270-281, 1980.[10] J.W.H. Liu, “The role <strong>of</strong> elimination trees inspare factorization,” SIAM Journal <strong>of</strong> MatrixAnalysis and Applications 11, pp. 134-172,1990.[11] J. Nevins, D. Whitney (Eds.), “ConcurrentDesign <strong>of</strong> Products and processes,”McGraw-Hill, New York, 1989.[12] A. Pothen, “The complexity <strong>of</strong> optimalelimination trees,” Technical Report CS-88-13,Pennsylvania State University, University Park,PA, 1988.[13] A. A. Schäffer, “Optimal node ranking <strong>of</strong> treesin linear time,” Information Processing Letters33, pp. 91-96, 1989.[14] P. Scheffler, “<strong>Node</strong> ranking and searching oncographs (Abstract),” in: U. Faigle and C.Hoede (Eds.), 3rd Twente Workshop on Graphand Combinatorial Optimization, 1993.[15] A. Sen, H. Deng, and S. Guha, “<strong>On</strong> a graphpartition problem with application to VLSIlayout.” Information Processing Letters 43, pp.87-94, 1992.-425-

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