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<Head>
<Title>Boost Graph Library: Bibliography</Title>
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<H2>Bibliography</H2>

<DL COMMapCT><DD><P></P><DT><A NAME="aho83:_data_struct_algo">1</A>
<DD>
A.&nbsp;V. Aho, J.&nbsp;E. Hopcroft, and J.&nbsp;D. Ullman.
<BR><EM>Data Structures and Algorithms</EM>.
<BR>Addison-Wesley, 1983.

<P></P><DT><A NAME="austern99:_gener_progr_stl">2</A>
<DD>
M.&nbsp;H. Austern.
<BR><EM>Generic Programming and the STL</EM>.
<BR>Professional computing series. Addison-Wesley, 1999.

<P></P><DT><A NAME="baumgartner95:_signatures">3</A>
<DD>
G.&nbsp;Baumgartner and V.&nbsp;F. Russo.
<BR>Signatures: A language extension for improving type abstraction and
  subtype polymorphism in C++.
<BR><EM>Software-Practice and Experience</EM>, 25(8):863-889, August 1995.

<P></P><DT><A NAME="bellman58">4</A>
<DD>
R.&nbsp;Bellman.
<BR>On a routing problem.
<BR><EM>Quarterly of Applied Mathematics</EM>, 16(1):87-90, 1958.

<P></P><DT><A NAME="bruce95">5</A>
<DD>
K.&nbsp;B. Bruce, L.&nbsp;Cardelli, G.&nbsp;Castagna, the Hopkins Objects&nbsp;Group, G.&nbsp;T.
  Leavens, and B.&nbsp;Pierce.
<BR>On binary methods.
<BR><EM>Theory and Practice of Object Systems</EM>, 1:221-242, 1995.

<P></P><DT><A NAME="coleman85:_algor">6</A>
<DD>
T.&nbsp;F. Coleman, B.&nbsp;S. Garbow, and J.&nbsp;J. Mor'e.
<BR>Algorithm 649: Fortran subroutines for estimating sparse hessian
  matrices.
<BR><EM>ACM Transactions on Mathematical Software</EM>, 11(4):378, December
  1985.

<P></P><DT><A NAME="coleman84:_estim_jacob">7</A>
<DD>
T.&nbsp;F. Coleman and J.&nbsp;J. Mor'e.
<BR>Estimation of sparse jacobian matrices and graph coloring problems.
<BR><EM>SIAM Journal on Numerical Analysis</EM>, 20:187-209,, 1984.

<P></P><DT><A NAME="clr90">8</A>
<DD>
T.&nbsp;Cormen, C.&nbsp;Leiserson, and R.&nbsp;Rivest.
<BR><EM>Introduction to Algorithms</EM>.
<BR>McGraw-Hill, 1990.

<P></P><DT><A NAME="curtis74:_jacob">9</A>
<DD>
A.&nbsp;Curtis, M.&nbsp;Powell, and J.&nbsp;Reid.
<BR>On the estimation of sparse jacobian matrices.
<BR><EM>Journal of the Institute of Mathematics and its Applications</EM>,
  13:117-119, 1974.

<P></P><DT><A NAME="dijkstra59">10</A>
<DD>
E.&nbsp;Dijkstra.
<BR>A note on two problems in connexion with graphs.
<BR><EM>Numerische Mathematik</EM>, 1:269-271, 1959.

<P></P><DT><A NAME="ford62:_flows">11</A>
<DD>
L.&nbsp;R. Ford and D.&nbsp;R. Fulkerson.
<BR><EM>Flows in networks</EM>.
<BR>Princeton University Press, 1962.

<P></P><DT><A NAME="gamma95:_design_patterns">12</A>
<DD>
E.&nbsp;Gamma, R.&nbsp;Helm, R.&nbsp;Johnson, and J.&nbsp;Vlissides.
<BR><EM>Design Patterns: Elements of Reusable Object-Oriented Software</EM>.
<BR>Professional Computing. Addison-Welsey, 1995.

<P></P><DT><A NAME="george93:graphtheory">13</A>
<DD>
A.&nbsp;George, J.&nbsp;R. Gilbert, and J.&nbsp;W. Liu, editors.
<BR><EM>Graph Theory and Sparse Matrix Computation</EM>.
<BR>Springer-Verlag New York, Inc, 1993.

<P></P><DT><A NAME="george81:__sparse_pos_def">14</A>
<DD>
A.&nbsp;George and J.&nbsp;W.-H. Liu.
<BR><EM>Computer Solution of Large Sparse Positive Definite Systems</EM>.
<BR>Computational Mathematics. Prentice-Hall, 1981.

<P></P><DT><A NAME="graham85">15</A>
<DD>
R.&nbsp;Graham and P.&nbsp;Hell.
<BR>On the history of the minimum spanning tree problem.
<BR><EM>Annals of the History of Computing</EM>, 7(1):43-57, 1985.

<P></P><DT><A NAME="hart68">16</A>
<DD>
P.&nbsp;E. Hart, N.&nbsp;J. Nilsson, and B.&nbsp;Raphael.
<BR>A formal basis for the heuristic determination of minimum cost paths.
<BR><EM>IEEE Transactions on Systems Science and Cybernetics</EM>,
  4(2):100-107, 1968.

<P></P><DT><A NAME="kruskal56">18</A>
<DD>
J.&nbsp;B. Kruskal.
<BR>On the shortest spanning subtree of a graph and the traveling
  salesman problem.
<BR>In <EM>Proceedings of the American Mathematical Sofiety</EM>, volume&nbsp;7,
  pages 48-50, 1956.

<P></P><DT><A NAME="kuehl96:_design_patterns_for_graph_algo">19</A>
<DD>
D.&nbsp;K&#252;hl.
<BR>Design patterns for the implementation of graph algorithms.
<BR>Master's thesis, Technische Universit&#228;t Berlin, July 1996.

<P></P><DT><A NAME="lawler76:_comb_opt">20</A>
<DD>
E.&nbsp;L. Lawler.
<BR><EM>Combinatorial Opimization: Networks and Matroids</EM>.
<BR>Holt, Rinehart, and Winston, 1976.

<P></P><DT><A NAME="LIU:MMD">21</A>
<DD>
J.&nbsp;W.&nbsp;H. Liu.
<BR>Modification of the minimum-degree algorithm by multiple elimination.
<BR><EM>ACM Transaction on Mathematical Software</EM>, 11(2):141-153, 1985.

<P></P><DT><A NAME="mehlhorn99:_leda">22</A>
<DD>
K.&nbsp;Mehlhorn and S.&nbsp;Näher.
<BR><EM>The LEDA Platform of Combinatorial and Geometric Computing</EM>.
<BR>Cambridge University Press, 1999.

<P></P><DT><A NAME="meyer88:_object_soft_const">23</A>
<DD>
B.&nbsp;Meyer.
<BR><EM>Object-oriented Software Construction</EM>.
<BR>Prentice Hall International Series in Computer Science. Prentice
  Hall, 1988.

<P></P><DT><A NAME="myers95:_trait">24</A>
<DD>
N.&nbsp;C. Myers.
<BR>Traits: a new and useful template technique.
<BR><EM>C++ Report</EM>, June 1995.

<P></P><DT><A NAME="prim57:_short">25</A>
<DD>
R.&nbsp;Prim.
<BR>Shortest connection networks and some generalizations.
<BR><EM>Bell System Technical Journal</EM>, 36:1389-1401, 1957.

<P></P><DT><A NAME="saad96:imsms">26</A>
<DD>
Y.&nbsp;Saad.
<BR><EM>Iterative Methods for Sparse Minear System</EM>.
<BR>PWS Publishing Company, 1996.

<P></P><DT><A NAME="tarjan83:_data_struct_network_algo">27</A>
<DD>
R.&nbsp;E. Tarjan.
<BR><EM>Data Structures and Network Algorithms</EM>.
<BR>Society for Industrial and Applied Mathematics, 1983.

<P></P><DT><A NAME="parter61:_gauss">28</A>
<DD>
Seymour Parter.
<BR><EM>The use of linear graphs in Gauss elimination</EM>.
<BR>SIAM Review, 1961 3:119-130.

<P></P><DT><A NAME="matula72:_graph_theory_computing">29</A>
<DD>
D. Matula, G. Marble, and J. Isaacson
<BR><EM>Graph coloring algorithms in Graph Theory and
Computing</EM>.<BR>
Academic Press, pp.104-122, 1972.

<P></P><DT><A NAME="garey79:computers-and-intractability">30</a>
<DD>
M.R. Garey and D.S. Johnson<BR>
<EM>Computers and Intractibility: A Guide to the Theory of
NP-Completeness</EM><BR>
W.H. Freeman, New York, 1979.

<P></P><DT><A NAME="welsch67">31</a>
<DD>D. Welsch and M. B. Powel<BR>
<EM>An upper bound for the chromatic number of a graph and its
application to timetabling problems</EM>
Computer Journal, 10:85-86, 1967.

<P></P><DT><A NAME="brelaz79:_new">32</a>
<DD>D. Br'elaz<BR>
<EM>New methods to color the vertices of a graph</EM><br>
Communications of the ACM, vol. 22, 1979, pp. 251-256.

<P></P><DT><A NAME="heber99:_saw">33</a>
<DD>G. Heber, R. Biswas, G.R. Gao<BR>
<EM>Self-Avoiding Walks over Adaptive Unstructured Grids</EM><br>
Parallel and Distributed Processing, LNCS 1586,
Springer-Verlag, 1999, pp. 968-977


<P></P><DT><A NAME="ng-raghavan">34</a>
<DD>Esmond G. Ng amd Padma Raghavan<BR>
<EM>Performance of greedy ordering heuristics for sparse {C}holesky factorization</EM><br>
SIAM Journal on Matrix Analysis and Applications (To appear)

<P></P><DT><A NAME="George:evolution">35</a>
<DD>Alan George and Joseph W. H. Liu<BR>
<EM>The Evolution of the Minimum Degree Ordering Algorithm</EM><br>
SIAM Review, March 1989, vol. 31, num. 1, pp. 1-19.

<P></P><DT><A NAME="ford56:_maxim">36</a>
<DD>L. R. Ford and D. R. Fulkerson<BR>
<EM>Maximal flow through a network.</EM><br>
Can. Journal of Mathematics 1956 pp.399-404

<P></P><DT><A NAME="goldberg85:_new_max_flow_algor">37</a>
<DD>A. V. Goldberg<BR>
<EM>A New Max-Flow Algorithm.</EM><br>
MIT Tehnical report MIT/LCS/TM-291, 1985.

<P></P><DT><A NAME="karzanov74:_deter">38</a>
<DD>A. V. Karzanov<BR>
<EM>Determining the maximal flow in a network by the method of preflows.</EM><br>
Sov. Math. Dokl. 1974

<P></P><DT><A NAME="ahuja93:_network_flows">39</a>
<DD>Ravindra K. Ahuja and Thomas L. Magnanti and James B. Orlin<BR>
<EM>Network Flows: Theory, Algorithms, and Applications.</EM><br>
Prentice Hall, 1993.

<P></P><DT><A NAME="edmonds72:_improvements_netflow">40</a>
<DD>Jack Edmonds and Richard M. Karp<BR>
<EM>Theoretical improvements in the algorithmic efficiency for network flow problems.</EM><br>
Journal of the ACM, 1972 19:248-264

<P></P><DT><A NAME="tarjan72:dfs_and_linear_algo">41</a>
<DD>Robert E. Tarjan<BR>
<EM>Depth first search and linear graph algorithms.</EM><br>
SIAM Journal on Computing, 1(2):146-160, 1972

<P></P><DT><A NAME="eppstein97:dynamic_graph">42</a>
<DD>David Eppstein, Zvi Galil, and Giuseppe F. Italiano<BR>
<EM>Dynamic Graph Algorithms.</EM><br>
Chapter 22, CRC Handbook of Algorithms and Theory of Computation, 1997.

<P></P><DT><A NAME="cuthill69:reducing_bandwith">43</a>
<DD>E. Cuthill and J. McKee<BR>
<EM>Reducing the bandwidth of sparse symmetric matrices.</EM><br>
Proceedings of the 24th National Conference of the ACM, 1969.

<P></P><DT><A NAME="liu75:anal_cm_rcm">44</a>
<DD>J. Liu and A. Sherman<BR>
<EM>Comparative analysis of the Cuthill-Mckee and the reverse
Cuthill-Mckee ordering algorithms for sparse matrices.</EM><br>
SIAM Journal of Numerical Analysis. 13 (1975), pp. 198-213.

<P></P><DT><A NAME="george71:fem">45</a>
<DD>Alan George<BR>
<EM>Computer implementation of the finite element method</EM><br>
Technical Report STAN-CS-208, Stanford University (1971).

<P></P><DT><A NAME="fortin96:_graph_iso_prob">46</a>
<DD>Scott Fortin<BR>
<EM>The Graph Isomorphism Problem</EM><br>
TR 96-20, Dept. of Computer Science, University of Alberta (1996)

<P></P><DT><A NAME="mckay81:_pract_graph_iso">47</a>
<DD>Brendan D. McKay<BR>
<EM>Practical Graph Isomorphism</EM><br>
Congressus Numerantium (1981)

<P></P><DT><A NAME="reingold77:_combin_algo">48</a>
<DD>Reingold, Nievergelt, and Deo<BR>
<EM>Combinatorial Algorithms: Theory and Practice</EM><br>
Prentice Hall (1977)

<P></P><DT><A NAME="moore59">49</a>
<DD>Edward Moore<BR>
<EM>The shortest path through a maze</EM><br>
International Symposium on the Theory of Switching (1959)<br>
Harvard University Press

<P></P><DT><A NAME="nuutila95">50</a>
<DD>E. Nuutila<BR>
<EM>Efficient transitive closure computation in large digraphs</EM><br>
PhD Thesis, Helsinki University of Technology, 1995. <br>
Acta Polytechnica Scandinavica, Mathematics and Computing in
Engineering Series, No. 74.

<P></P><DT><A NAME="goral79">51</a>
<DD>A. Goralcikova and V. Koubek<BR>
<EM>A reduct and closure algorithm for graphs</EM><br>
In Mathematical Foundations of Computer Science, <br>
volume 74 of Lecture Notes in Computer Science, pages 301-307. <br>
Springer-Verlag, 1979

<P></P><DT><A NAME="simon86">52</a>
<DD>Klaus Simon<BR>
<EM>An Improved Algorithm for Transitive Closure on Acyclic Digraphs</EM><br>
Theoretical Computer Science 58<br>
Automata, Languages and Programming, 376-386, 1986

<P></P><DT><A NAME="purdom70">53</a>
<DD>P. Purdom<BR>
<EM>A Transitive Closure Algorithm</EM><br>
BIT, 10, 1970, pp. 76-94.

<p></p><dt><a name="brandes01">54</a>
<dd>Ulrik Brandes<br>
<em><a href="http://ella.slis.indiana.edu/~katy/L579/brandes.pdf">A
            Faster Algorithm for Betweenness Centrality</a></em><br>
Journal of Mathematical Sociology 25 (2):163-177, 2001.

<p></p><dt><a name="freeman77">55</a>
<dd>Lindon C. Freeman<br>
<em>A Set of Measures of Centrality Based on Betweenness</em><br>
Sociometry 40, pp. 35-41, 1977.

<p></p><dt><a name="anthonisse71">56</a>
<dd>J.M. Anthonisse<br>
<em>The rush in a directed graph.</em><br>
Technical Report BN9/71, Stichting Mahtematisch Centrum, Amsterdam, 1971.

<p></p><dt><a name="kamada89">57</a>
<dd>T. Kamada and S. Kawai<br>
<em>An algorithm for drawing general undirected graphs.</em><br>
Information Processing Letters, 31, pp. 7-15, 1989.

<p></p><dt><a name="fruchterman91">58</a>
<dd>T. Fruchterman and E. Reingold<br>
  <em>Graph drawing by force-directed placement.</em><br>
Software--Practice &amp; Experience, 21 (11), pp. 1129-1164, 1991.

<p></p><dt><a name="coleman83">59</a>
<dd>Thomas F. Coleman and Jorge J. More<br>
  <em>Estimation of sparse Jacobian
   matrices and graph coloring problems.</em><br>
  Journal of Numerical Analasis V20, pp. 187-209, 1983.

<p></p><dt><a name="gursoy00">60</a>
<dd>Attila G&uuml;rsoy and Murat Atun<br>
  <em>Neighborhood Preserving Load Balancing: A Self-Organizing Approach</em>
  <br>
  Euro-Par Parallel Processing, LNCS 1900, pp. 324-41, 2000.

<p></p><dt><a name="driscoll88">61</a>
<dd>James R. Driscoll, Harold N. Gabow, Ruth Shrairman, and Robert E. Tarjan<br>
  <em>Relaxed Heaps: An alternative for Fibonacci Heaps with applications to parallel computation.</em><br>
  Communications of the ACM, 31 (11), pp. 1343-1354, November 1988.

<p></p><dt><a name="king70">62</a>
<dd>King, I. P.<br>
<em>An automatic reordering scheme for simultaneous equations derived from network analysis.</em><br>
Int. J. Numer. Methods Engrg. 2, pp. 523-533, 1970.

<p></p><dt><a name="palmer2000">63</a>
<dd>C. Palmer and J. Steffan<br>
<em>Generating Network Topologies That Obey Power Laws</em><br>
Proceedings of GLOBECOM. November, 2000.

<p></p><dt><a name="edmonds65">64</a>
<dd>J. Edmonds<br>
<em>Paths, trees, and flowers</em><br>
Canadian Journal of Mathematics 17 (1965), pp. 449-467.

<p></p><dt><a name="lengauer-tarjan79">65</a>
<dd>Thomas Lengauer and Robert Endre Tarjan<br>
<em>A fast algorithm for finding dominators in a flowgraph</em><br>
ACM Transactions on Programming Language and Systems, 1(1):121-141, 1979.

<p></p><dt><a name="muchnick97">66</a>
<dd>Steven S. Muchnick<br>
<em>Advanced Compiler Design and Implementation</em><br>
Morgan Kaufmann Publishers, San Fransisco, 1997.

<p></p><dt><a name="appel98">67</a>
<dd>Andrew W. Appel<br>
<em>Modern Compiler Implementation in JAVA</em><br>
Cambridge University Press, 1998.

<p></p><dt><a name="kolmogorov03">68</a>
<dd>Vladimir Kolmogorov<br>
<em>Graph Based Algorithms for Scene Reconstruction from Two or More Views</em><br>
PhD thesis, Cornell University, September 2003.

<p></p><dt><a name="boykov-kolmogorov04">69</a>
  <dd>Yuri Boykov and Vladimir Kolmogorov<br>
    <em><a href="http://www.csd.uwo.ca/faculty/yuri/Abstracts/pami04-abs.html">An Experimental Comparison of Min-Cut/Max-Flow Algorithms for Energy Minimization in Vision</a></em><br>
    In <em>IEEE Transactions on Pattern Analysis and Machine Intelligence</em>, vol. 26, no. 9, pp. 1124-1137, Sept. 2004.

<p></p><dt><a name="boyermyrvold04">70</a>
<dd>John M. Boyer and Wendy J. Myrvold<br>
<em><a href="http://www.emis.de/journals/JGAA/accepted/2004/BoyerMyrvold2004.8.3.pdf">
On the Cutting Edge: Simplified O(n) Planarity by Edge Addition</a>
</em><br>
Journal of Graph Algorithms and Applications, 8(2): 241-273, 2004.

<p></p><dt><a name="chrobakpayne95">71</a>
<dd>M. Chrobak, T. Payne<br>
<em>
A Linear-time Algorithm for Drawing a Planar Graph on the Grid
</em><br>
Information Processing Letters 54: 241-246, 1995.

<p></p><dt><a name="defraysseixpachpollack90">72</a>
<dd>H. de Fraysseix, J. Pach, R. Pollack<br>
<em>
How to Draw a Planar Graph on a Grid
</em><br>
Combinatorica 10: 41-51, 1990.

<P></P><DT><A NAME="wilson96generating">73</A>
<DD>
David&nbsp;Bruce&nbsp;Wilson
<BR><em>Generating random spanning trees more quickly than the cover time</em>.
ACM Symposium on the Theory of Computing, pp. 296-303, 1996.

<p></p><dt><a name="edmonds65:_max_weighted_match">74</a>
<dd>J. Edmonds<br>
<em>Maximum Matching and a Polyhedron with 0, 1-Vertices</em><br>
Journal of Research of the National Bureau of Standards B 69, pp. 125-130, 1965.

<p></p><dt><a name="gabow76">75</a>
<dd>Harold N. Gabow<br>
<em>An Efficient Implementation of Edmonds' Algorithm for Maximum Matching on Graphs</em><br>
Journal of the ACM (JACM), 23(2): 221-234, 1976.

<p></p><dt><a name="gabow90">76</a>
<dd>Harold N. Gabow<br>
<em>Data Structures for Weighted Matching and Nearest Common Ancestors with Linking</em><br>
Proceedings of the First Annual ACM-SIAM Symposium on Discrete Algorithms, pp. 434-443, 1990.

</dl>

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<A HREF="http://www.boost.org/people/jeremy_siek.htm">Jeremy Siek</A>, Indiana University (<A HREF="mailto:jsiek@osl.iu.edu">jsiek@osl.iu.edu</A>)
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