5B1118 Diskret matematik, 5 poäng

Referenser

Detta är en inkomplett lista över några referenser som kan vara intressanta att studera som bredvidläsning till kursen.

1

R. Balakrishnan and K. Ranganathan.
A textbook of graph theory.
Springer-Verlag, New York, 2000.

2

Norman Biggs.
Algebraic graph theory.
Cambridge University Press, Cambridge, second edition, 1993.

3

Norman L. Biggs.
Discrete mathematics.
The Clarendon Press Oxford University Press, New York, second edition, 1989.

4

Kenneth P. Bogart.
Introductory combinatorics.
Pitman (Advanced Publishing Program), Boston, Mass., 1983.

5

Kenneth P. Bogart.
Discrete Mathematics.
D. C. Heath and Company, 1988.

6

John Clark and Derek Allan Holton.
A first look at graph theory.
World Scientific Publishing Co. Inc., Teaneck, NJ, 1991.

7

Arjeh M. Cohen, Hans Cuypers, and Hans Sterk.
Algebra interactive!
Springer-Verlag, Berlin, 1999.
Learning algebra in an exciting way, With 1 CD-ROM (Windows, LINUX and UNIX).

8

Susanna S. Epp.
Discrete Mathematics with Applications.
PWS Publishing Company, 1995.

9

Rowan Garnier and John Taylor.
Discrete mathematics for new technology.
Adam Hilger Ltd., Bristol, 1992.

10

G. P. Gavrilov and A. A. Sapozhenko.
Problems and exercises in discrete mathematics.
Kluwer Academic Publishers Group, Dordrecht, 1996.
Revised and updated edition of Selected problems in discrete mathematics [``Mir'', Moscow, 1989; MR 90m:00011], Translated from the Russian by Sapozhenko.

11

Ronald Gould.
Graph theory.
The Benjamin/Cummings Publishing Co. Inc., Menlo Park, CA, 1988.

12

Ronald L. Graham, Donald E. Knuth, and Oren Patashnik.
Concrete mathematics.
Addison-Wesley Publishing Company, Reading, MA, second edition, 1994.
A foundation for computer science.

13

Winfried Karl Grassmann and Jean-Paul Tremblay.
Logic and discrete mathematics.
Prentice Hall Inc., Upper Saddle River, NJ, 1996.
A computer science perspective.

14

James L. Hein.
Discrete Mathematics.
John and Bartlett Publishers, 1996.

15

D. G. Hoffman, D. A. Leonard, C. C. Lindner, K. T. Phelps, C. A. Rodger, and J. R. Wall.
Coding theory.
Marcel Dekker Inc., New York, 1991.
The essentials.

16

Richard Johnsonbaugh.
Discrete Mathematics.
Pretice Hall International, 1997.

17

K. D. Joshi.
Foundations of discrete mathematics.
John Wiley & Sons Inc., New York, 1989.

18

Richard E. Klima, Neil Sigmon, and Ernest Stitzinger.
Applications of abstract algebra with Maple.
CRC Press, Boca Raton, FL, 2000.

19

Charles F. Laywine and Gary L. Mullen.
Discrete mathematics using Latin squares.
John Wiley & Sons Inc., New York, 1998.
A Wiley-Interscience Publication.

20

Jirí Matousek and Jaroslav Nesetril.
Invitation to discrete mathematics.
The Clarendon Press Oxford University Press, New York, 1998.

21

O. Melnikov, V. Sarvanov, R. Tyshkevich, V. Yemelichev, and I. Zverovich.
Exercises in graph theory.
Kluwer Academic Publishers Group, Dordrecht, 1998.
Translated from the Russian by Nikolai Korneenko.

22

Oleg Melnikov, Regina Tyshkevich, Vladimir Yemelichev, and Vladimir Sarvanov.
Lectures on graph theory.
Bibliographisches Institut, Mannheim, 1994.
Translated from the 1990 Russian original by N. Korneenko with the collaboration of the authors.

23

John G. Michaels and Kenneth H. Rosen, editors.
Applications of discrete mathematics.
McGraw-Hill Inc., New York, 1991.

24

Mike Piff.
Discrete mathematics.
Cambridge University Press, Cambridge, 1991.
An introduction for software engineers.

25

Steven Roman.
Introduction to coding and information theory.
Springer-Verlag, New York, 1997.

26

Steven Skiena.
Implementing discrete mathematics.
Addison-Wesley Publishing Company Advanced Book Program, Redwood City, CA, 1990.
Combinatorics and graph theory with Mathematica, With programs by the author and Anil Bhansali.

27

Vladimir D. Tonchev.
Codes and graphs.
In Applications of mathematics in engineering and economics (Sozopol, 1999), pages 33-36. Heron Press, Sofia, 2000.

28

Michael Townsend.
Discrete mathematics: applied combinatorics and graph theory.
The Benjamin/Cummings Publishing Co. Inc., Menlo Park, CA, 1987.

29

Richard J. Trudeau.
Introduction to graph theory.
Dover Publications Inc., New York, 1993.
Corrected reprint of the 1976 original.

30

J. H. van Lint.
Introduction to coding theory.
Springer-Verlag, Berlin, third edition, 1999.

31

H. C. A. van Tilborg.
The role of discrete mathematics in engineering.
In The role of mathematics in modern engineering (Melbourne, 1994), pages 105-119. Studentlitteratur, Lund, 1996.

32

Henk C. A. van Tilborg.
Finite fields and error-correcting codes.
In Handbook of algebra, Vol. 1, pages 395-422. North-Holland, Amsterdam, 1996.

33

A. Vince and C. Morris.
Discrete mathematics for computing.
Ellis Horwood, New York, 1990.

34

Judy L. Walker.
Codes and curves.
American Mathematical Society, Providence, RI, 2000.
IAS/Park City Mathematical Subseries.

35

S. V. Yablonsky.
Introduction to discrete mathematics.
``Mir'', Moscow, 1989.
Translated from the Russian by Oleg Efimov.