ON CHARACTERIZATION AND RECOGNITION OF PROPER TAGGED PROBE INTERVAL GRAPHS

Authors

Sanchita Paul, Jadavpur University
Shamik Ghosh, Jadavpur University
Sourav Chakraborty, Indian Statistical Institute, Kolkata
Malay Sen, University of North Bengal

Article Type

Research Article

Publication Title

Contributions to Discrete Mathematics

Abstract

Interval graphs were used in the study of the human genome project by the molecular biologist Benzer. Later on probe interval graphs were introduced by Zhang as a generalization of interval graphs for the study of cosmid contig mapping of DNA. Further research in this area required more useful and cost-effective tools. The concept of tagged probe interval graphs is motivated from this point of view. In this paper, we consider a natural subclass of it, namely, the class of proper tagged probe interval graphs. In this paper, we present a characterization theorem and a linear time recognition algorithm for proper tagged probe interval graphs. Also, we discuss the interrelations between the classes of proper tagged probe interval graphs and tagged probe interval graphs with probe interval graphs and probe proper interval graphs.

First Page

102

Last Page

120

DOI

10.55016/ojs/cdm.v19i3.62620

Publication Date

1-1-2024

Comments

Open Access; Green Open Access

Recommended Citation

Paul, Sanchita; Ghosh, Shamik; Chakraborty, Sourav; and Sen, Malay, "ON CHARACTERIZATION AND RECOGNITION OF PROPER TAGGED PROBE INTERVAL GRAPHS" (2024). Journal Articles. 4938.
https://digitalcommons.isical.ac.in/journal-articles/4938