ON CHARACTERIZATION AND RECOGNITION OF PROPER TAGGED PROBE INTERVAL GRAPHS

被引：0

作者：

Paul, Sanchita ^{[1
]}

Ghosh, Shamik ^{[1
]}

Chakraborty, Sourav ^{[2
]}

Sen, Malay ^{[3
]}

机构：

[1] Jadavpur Univ, Dept Math, Kolkata 700032, India

[2] Indian Stat Inst, Kolkata 700108, India

[3] North Bengal Univ, Dept Math, Darjeeling 734430, West Bengal, India

来源：

CONTRIBUTIONS TO DISCRETE MATHEMATICS | 2024年 / 19卷 / 03期

关键词：

Interval graph; proper interval graph; probe interval graph; probe proper interval graph; tagged probe interval graph; consecutive 1's property; PQ- tree algorithm; ALGORITHM;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：19

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