## Bibliography

1
  A. V. Aho, J. E. Hopcroft, and J. D. Ullman.
  Data Structures and Algorithms.
  Addison-Wesley, 1983.

2
  M. H. Austern.
  Generic Programming and the STL.
  Professional computing series. Addison-Wesley, 1999.

3
  G. Baumgartner and V. F. Russo.
  Signatures: A language extension for improving type abstraction and subtype polymorphism in C++.
  Software-Practice and Experience, 25(8):863-889, August 1995.

4
  R. Bellman.
  On a routing problem.
  Quarterly of Applied Mathematics, 16(1):87-90, 1958.

5
  K. B. Bruce, L. Cardelli, G. Castagna, the Hopkins Objects Group, G. T. Leavens, and B. Pierce.
  On binary methods.
  Theory and Practice of Object Systems, 1:221-242, 1995.

6
  T. F. Coleman, B. S. Garbow, and J. J. Mor'e.
  Algorithm 649: Fortran subroutines for estimating sparse hessian matrices.
  ACM Transactions on Mathematical Software, 11(4):378, December 1985.

7
  T. F. Coleman and J. J. Mor'e.
  Estimation of sparse jacobian matrices and graph coloring problems.
  SIAM Journal on Numerical Analysis, 20:187-209,, 1984.

8
  T. Cormen, C. Leiserson, and R. Rivest.
  Introduction to Algorithms.
  McGraw-Hill, 1990.

9
  A. Curtis, M. Powell, and J. Reid.
  On the estimation of sparse jacobian matrices.
  Journal of the Institute of Mathematics and its Applications, 13:117-119, 1974.

10
  E. Dijkstra.
  A note on two problems in connexion with graphs.
  Numerische Mathematik, 1:269-271, 1959.

11
  L. R. Ford and D. R. Fulkerson.
  Flows in networks.
  Princeton University Press, 1962.

12
  E. Gamma, R. Helm, R. Johnson, and J. Vlissides.
  Design Patterns: Elements of Reusable Object-Oriented Software.
  Professional Computing. Addison-Welsey, 1995.

13
  A. George, J. R. Gilbert, and J. W. Liu, editors.
  Graph Theory and Sparse Matrix Computation.
  Springer-Verlag New York, Inc, 1993.

14
  A. George and J. W.-H. Liu.
  Computer Solution of Large Sparse Positive Definite Systems.
  Computational Mathematics. Prentice-Hall, 1981.

15
  R. Graham and P. Hell.
  On the history of the minimum spanning tree problem.
  Annals of the History of Computing, 7(1):43-57, 1985.

16
  P. E. Hart, N. J. Nilsson, and B. Raphael.
  A formal basis for the heuristic determination of minimum cost paths.
  IEEE Transactions on Systems Science and Cybernetics, 4(2):100-107, 1968.

18
  J. B. Kruskal.
  On the shortest spanning subtree of a graph and the traveling salesman problem.
  In Proceedings of the American Mathematical Sofiety, volume 7, pages 48-50, 1956.

19
  D. Kühl.
  Design patterns for the implementation of graph algorithms.
  Master's thesis, Technische Universität Berlin, July 1996.

20
  E. L. Lawler.
  Combinatorial Opimization: Networks and Matroids.
  Holt, Rinehart, and Winston, 1976.

21
  J. W. H. Liu.
  Modification of the minimum-degree algorithm by multiple elimination.
  ACM Transaction on Mathematical Software, 11(2):141-153, 1985.

22
  K. Mehlhorn and S. Näher.
  The LEDA Platform of Combinatorial and Geometric Computing.
  Cambridge University Press, 1999.

23
  B. Meyer.
  Object-oriented Software Construction.
  Prentice Hall International Series in Computer Science. Prentice Hall, 1988.

24
  N. C. Myers.
  Traits: a new and useful template technique.
  C++ Report, June 1995.

25
  R. Prim.
  Shortest connection networks and some generalizations.
  Bell System Technical Journal, 36:1389-1401, 1957.

26
  Y. Saad.
  Iterative Methods for Sparse Minear System.
  PWS Publishing Company, 1996.

27
  R. E. Tarjan.
  Data Structures and Network Algorithms.
  Society for Industrial and Applied Mathematics, 1983.

28
  Seymour Parter.
  The use of linear graphs in Gauss elimination.
  SIAM Review, 1961 3:119-130.

29
  D. Matula, G. Marble, and J. Isaacson
  Graph coloring algorithms in Graph Theory and Computing.
  Academic Press, pp.104-122, 1972.

30
  M.R. Garey and D.S. Johnson
  Computers and Intractibility: A Guide to the Theory of NP-Completeness
  W.H. Freeman, New York, 1979.

31
  D. Welsch and M. B. Powel
  An upper bound for the chromatic number of a graph and its application to timetabling problems Computer Journal, 10:85-86, 1967.

32
  D. Br'elaz
  New methods to color the vertices of a graph
  Communications of the ACM, vol. 22, 1979, pp. 251-256.

33
  G. Heber, R. Biswas, G.R. Gao
  Self-Avoiding Walks over Adaptive Unstructured Grids
  Parallel and Distributed Processing, LNCS 1586, Springer-Verlag, 1999, pp. 968-977

34
  Esmond G. Ng amd Padma Raghavan
  Performance of greedy ordering heuristics for sparse {C}holesky factorization
  SIAM Journal on Matrix Analysis and Applications (To appear)

35
  Alan George and Joseph W. H. Liu
  The Evolution of the Minimum Degree Ordering Algorithm
  SIAM Review, March 1989, vol. 31, num. 1, pp. 1-19.

36
  L. R. Ford and D. R. Fulkerson
  Maximal flow through a network.
  Can. Journal of Mathematics 1956 pp.399-404

37
  A. V. Goldberg
  A New Max-Flow Algorithm.
  MIT Tehnical report MIT/LCS/TM-291, 1985.

38
  A. V. Karzanov
  Determining the maximal flow in a network by the method of preflows.
  Sov. Math. Dokl. 1974

39
  Ravindra K. Ahuja and Thomas L. Magnanti and James B. Orlin
  Network Flows: Theory, Algorithms, and Applications.
  Prentice Hall, 1993.

40
  Jack Edmonds and Richard M. Karp
  Theoretical improvements in the algorithmic efficiency for network flow problems.
  Journal of the ACM, 1972 19:248-264

41
  Robert E. Tarjan
  Depth first search and linear graph algorithms.
  SIAM Journal on Computing, 1(2):146-160, 1972

42
  David Eppstein, Zvi Galil, and Giuseppe F. Italiano
  Dynamic Graph Algorithms.
  Chapter 22, CRC Handbook of Algorithms and Theory of Computation, 1997.

43
  E. Cuthill and J. McKee
  Reducing the bandwidth of sparse symmetric matrices.
  Proceedings of the 24th National Conference of the ACM, 1969.

44
  J. Liu and A. Sherman
  Comparative analysis of the Cuthill-Mckee and the reverse Cuthill-Mckee ordering algorithms for sparse matrices.
  SIAM Journal of Numerical Analysis. 13 (1975), pp. 198-213.

45
  Alan George
  Computer implementation of the finite element method
  Technical Report STAN-CS-208, Stanford University (1971).

46
  Scott Fortin
  The Graph Isomorphism Problem
  TR 96-20, Dept. of Computer Science, University of Alberta (1996)

47
  Brendan D. McKay
  Practical Graph Isomorphism
  Congressus Numerantium (1981)

48
  Reingold, Nievergelt, and Deo
  Combinatorial Algorithms: Theory and Practice
  Prentice Hall (1977)

49
  Edward Moore
  The shortest path through a maze
  International Symposium on the Theory of Switching (1959)
  Harvard University Press

50
  E. Nuutila
  Efficient transitive closure computation in large digraphs
  PhD Thesis, Helsinki University of Technology, 1995.
  Acta Polytechnica Scandinavica, Mathematics and Computing in Engineering Series, No. 74.

51
  A. Goralcikova and V. Koubek
  A reduct and closure algorithm for graphs
  In Mathematical Foundations of Computer Science,
  volume 74 of Lecture Notes in Computer Science, pages 301-307.
  Springer-Verlag, 1979

52
  Klaus Simon
  An Improved Algorithm for Transitive Closure on Acyclic Digraphs
  Theoretical Computer Science 58
  Automata, Languages and Programming, 376-386, 1986

53
  P. Purdom
  A Transitive Closure Algorithm
  BIT, 10, 1970, pp. 76-94.

Copyright © 2000-2001 | Jeremy Siek, Indiana University (jsiek@osl.iu.edu)