NDLI: Review of: Modern Graph Theory by Béla Bollobás

Please wait, while we are loading the content...

Volume 31, Issue 4, Dec. 2000

The Book Review Column

Reviews of THREE books on Fair Division of Resources

Review of Computational Geometry: Algorithms and Applications (2nd ed.) by Mark de Berg, Marc van Kreveld, Mark Overmars, and Otfried Schwarzkopf

Review of Parameterized Complexity by R. Downey and M. Fellows

Review of: Modern Graph Theory by Béla Bollobás

Review of $A=B^{5}$ by Marko Petkovsek, Herbert S. Wilf, and Doron Zeilberger

Review of Communicating and mobile systems

Reprints from Computing Reviews

NSF Report: Theory of Computing Program

A moment of perfect clarity II

Principles of distributed computing

Computational geometry column 40

Going Backwards

Report on the 6th international meeting on DNA-based computers

Half century of automata theory

Death of a monster

Volume 31, Issue 3, Sept. 2000

Volume 31, Issue 2, June 1 2000

Volume 31, Issue 1, March 2000

Issue 14, January 1972

Issue 13, December 1971

Issue 12, October 1971

Issue 11, August 1971

Issue 10, July 1971

Issue 9, April 1971

Issue 8, January 1971

Issue 7, September 1970

Issue 6, June 1970

Issue 4, January 1970

Issue 3, October 1969

Issue 2, July 1969

Issue 1, April 1969

Review of: Modern Graph Theory by Béla Bollobás

Content Provider	ACM Digital Library
Author	Čenek, E. W
Abstract	Graph Theory is still a relatively young subject, and debate still rages on what material constitutes the core results that any introductory text should include. Bollobás has chosen to introduce graph theory - including recent results - in a way that emphasizes the connections between (for example) the Tutte polynomial of a graph, the partition functions of theoretical physics, and the new knot polynomials, all of which are interconnected.On the other hand, graph theory is also rooted strongly in computing science, where it is applied to many different problems; Bollobás's treatment is completely theoretical and does not address these applications. Or, in more practical terms, he is concerned whether a solution exists, rather than asking whether the solution can be computed in a reasonably efficient manner.One of the pleasures of working in graph theory is the abundance of problems available to solve. Unlike many more traditional areas of Mathematics, knowing the core results and proofs is frequently insufficient. Often solving a new problem requires a new approach, or a subtle twist on an existing one, combined with some bare knuckle work. Bollobás emphasizes this in the problems available at the end of each chapter; he includes in total 639 problems, ranging from the reasonably straightforward to the very difficult. I spent time with friends working on these problems, and was intrigued by the variety of the proofs that we came up with.
Starting Page	15
Ending Page	18
Page Count	4
File Format	PDF
ISSN	01635700
DOI	10.1145/369836.571190
Journal	ACM SIGACT News (SIGA)
Volume Number	31
Issue Number	4
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	1992-06-30
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Content Type	Text
Resource Type	Article

Central Library (ISO-9001:2015 Certified)
Indian Institute of Technology Kharagpur
Kharagpur, West Bengal, India | PIN - 721302

See location in the Map
03222 282435
Mail: support@ndl.gov.in

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in