Computational Geometry - Spring 2011

Computational Geometry – Fall 2013
Intersection Graphs of Geometric Objects: Topics for MS students
All presentations need to be submitted to dragan@cs.kent.edu on November 26 th , 2013.
1. Alsulaiman, Anwar Z
Vontikommu, Sravya Reddy
Mukka Pullammagari, Dinesh Kumar Reddy -- Interval graphs
2. Bangalore Revanna, Rajhesh B.
Bhasin, Lokesh
Pasunuri, Venkatesh Reddy -- Permutation graphs
3. Biesan, Shawn N.
Boddu, Usha Rani
Pasumarthy, Venkata Anil Kumar -- Trapezoid graphs
4. Bottu, Shiva Vamshi Raj
Boyapally, Hariprasad Reddy
Trivedi, Kedarnath A. -- Co-comparability graphs as the intersection graphs of polylines between two lines
5. Boyina, Sindhu
Budha, Prudhvi Yaswanth Teja Y.
Vishwanatham, Jaideep -- Chordal graphs as the intersection graphs of subtrees of a tree
6. Bula, Joel S.
Chithirala, Venkata Sandeep Kumar
Pitla, Kamal Kumar -- Circular-arc graphs
7. Dommaraju, Sowmya
Enukonda, Vikram Reddy
Kocherla, Uday Avinash -- Circle graphs
8. Ganga, Nagarjuna
Goli, Sai Shiva Teja
Kotta, Goutami -- Polygonal graphs
9. Jangili, Venkateshwarlu
Karnati, Madhumitha
Machavaram, Venkata Saikrishna -- Boxicity k graphs
10. Mahareddy, Harik Kumar
Mallesh, Supraja Reddy
Madam, Ravikumar -- String graphs
11. Mao, Jing
Zhang, Zhe -- Line graphs
12. Angelis, Daniel S.
Pogrebinsky, Rostislav
Haiber, Charles K. – Unit Disk graphs and Disk graphs

To cover in your presentation:
1. definitions, examples,
2. what real-life problems can be modeled by these graphs,
3. how to recognize if a giving graph belongs to the family,
4. how, giving such a graph, to construct an intersection model,
5. important properties and/or characterizations,
6. what graph problems can be solved efficiently on these graphs and why.
To start your search:
1. http://en.wikipedia.org/wiki/Intersection_graph
2. Martin Charles Golumbic, Algorithmic Graph Theory and Perfect Graphs, First edition, Academic Press,
New York, 1980, Second edition, Annals of Discrete Mathematics 57, Elsevier, 2004.
3. Graph Classes: A Survey is published by SIAM, the Society for Industrial and Applied Mathematics,
Philadelphia, as a volume of the SIAM Monographs on Discrete Mathematics and Applications. ISBN: 0-
89871-432-X (see also
http://www.informatik.uni-rostock.de/~ab/survey/survey.html )
4. E. Prisner A Journey through Intersection Graph County
5. Jan Kratochvíl, A video lecture on intersection graphs (June 2007)
6. McKee, Terry A.; McMorris, F. R. (1999), Topics in Intersection Graph Theory, SIAM Monographs on
Discrete Mathematics and Applications, 2, Philadelphia: Society for Industrial and Applied Mathematics,
ISBN 0-89871-430-3