NDLI: A Note on First-Fit Coloring of Interval Graphs

Content Provider	Springer Nature Link
Author	Narayanaswamy, N. S. Babu, R. Subhash
Copyright Year	2008
Abstract	We apply the Column Construction Method (Varadarajan et al., Proceedings of the Fifteenth Annual ACM-SIAM Symposium On Discrete Algorithms, pp. 562–571, 2004) to a minimal clique cover of an interval graph to obtain a new proof that First-Fit is 8-competitive for online coloring interval graphs. This proof also yields a new discovery that in each minimal clique cover of an interval graph G, there is a clique of size $\frac{\omega(G)}{8}$ .
Starting Page	49
Ending Page	53
Page Count	5
File Format	PDF
ISSN	01678094
Journal	Order
Volume Number	25
Issue Number	1
e-ISSN	15729273
Language	English
Publisher	Springer Netherlands
Publisher Date	2008-04-09
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	First fit for online graph coloring Competitive analysis Column construction method Theory of Computation Geometry Convex and Discrete Geometry
Content Type	Text
Resource Type	Article
Subject	Algebra and Number Theory Computational Theory and Mathematics Geometry and Topology

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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
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A Note on First-Fit Coloring of Interval Graphs