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The Weighted All-Pairs-Shortest-Path-Length Problem on Two ...

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of a Series-Parallel Graph”, Discrete Applied<br />

Mathematics, Vol. 5, pp. 299-311, 1983.<br />

[12] D. E. Knuth, <str<strong>on</strong>g>The</str<strong>on</strong>g> Art of Computer<br />

Programming, Vol. 1, Fundamental<br />

Algorithms, Addis<strong>on</strong>-Wesley, 1968.<br />

2<br />

[13] P. Mirchandani, “A Simple O( n ) Algorithm<br />

for the <str<strong>on</strong>g>All</str<strong>on</strong>g>-<str<strong>on</strong>g>Pairs</str<strong>on</strong>g> <str<strong>on</strong>g>Shortest</str<strong>on</strong>g> <str<strong>on</strong>g>Path</str<strong>on</strong>g> <str<strong>on</strong>g>Problem</str<strong>on</strong>g> <strong>on</strong> an<br />

Interval Graph”, Networks, Vol. 27, pp.<br />

215-217, 1996.<br />

[14] S. Pettie, “A Faster <str<strong>on</strong>g>All</str<strong>on</strong>g>-<str<strong>on</strong>g>Pairs</str<strong>on</strong>g> <str<strong>on</strong>g>Shortest</str<strong>on</strong>g> <str<strong>on</strong>g>Path</str<strong>on</strong>g><br />

Algorithm for Real-<str<strong>on</strong>g>Weighted</str<strong>on</strong>g> Sparse Graphs”,<br />

Lecture Notes in Computer Science, Vol. 2380,<br />

pp. 85-97, 2002.<br />

[15] R. Ravi, M. V. Marathe, and C. P. Rangan, “An<br />

Optimal Algorithm to Solve the <str<strong>on</strong>g>All</str<strong>on</strong>g>-Pair<br />

<str<strong>on</strong>g>Shortest</str<strong>on</strong>g> <str<strong>on</strong>g>Path</str<strong>on</strong>g> <str<strong>on</strong>g>Problem</str<strong>on</strong>g> <strong>on</strong> Interval Graphs”,<br />

Networks, Vol. 22, pp. 21-35, 1992.<br />

[16] K. Takamizwa, T. Nishizeki, and N. Saito,<br />

“Linear-Time Computability of<br />

Combinatorial <str<strong>on</strong>g>Problem</str<strong>on</strong>g>s <strong>on</strong> Series-Parallel<br />

Graphs”, Journal of the A.C.M., Vol. 29, No.<br />

3, pp. 623-641, 1982.<br />

3<br />

[17] T. Takaoka, “An O( n loglogn / logn) Time<br />

Algorithm for the <str<strong>on</strong>g>All</str<strong>on</strong>g>-<str<strong>on</strong>g>Pairs</str<strong>on</strong>g> <str<strong>on</strong>g>Shortest</str<strong>on</strong>g> <str<strong>on</strong>g>Path</str<strong>on</strong>g><br />

<str<strong>on</strong>g>Problem</str<strong>on</strong>g>”, Informati<strong>on</strong> Processing Letters.,<br />

Vol. 96, pp. 155-161, 2005.<br />

[18] M. Thorup, “Undirected Single-Source<br />

<str<strong>on</strong>g>Shortest</str<strong>on</strong>g> <str<strong>on</strong>g>Path</str<strong>on</strong>g>s with Positive Integer Weights in<br />

Linear Time, Journal of the ACM, Vol. 1l, No.<br />

1, 1999.<br />

[19] C-KYen and C-Y Tang, A Study <strong>on</strong> the<br />

Searchlight Guarding <str<strong>on</strong>g>Problem</str<strong>on</strong>g>, Ph.D.<br />

Dissertati<strong>on</strong>, Department of Computer<br />

Science, Nati<strong>on</strong>al Tsing Hua University,<br />

1996.<br />

<str<strong>on</strong>g>The</str<strong>on</strong>g> 25th Workshop <strong>on</strong> Combinatorial Mathematics and Computati<strong>on</strong> <str<strong>on</strong>g>The</str<strong>on</strong>g>ory<br />

-361-

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