Forbidden induced subgraphs of the Line graph and Covering Preserving Subposets

Vol-3 | Issue-08 | August 2018 | Published Online: 07 August 2018    PDF ( 454 KB )
DOI: https://doi.org/10.5281/zenodo.1401334
Author(s)
Baiju Sukumaran 1; Antony Mathews 2; Athul T B 3

1Associate Professor, Department of mathematics, Sree Narayana College, Punalur (India)

2Associate Professor, Department of mathematics, St. Berchmans College, Changancherry (India)

3Mphil Scholar, Department of mathematics, University of Kerala (India)

Abstract

The cover-incomparability graph of a poset P is the edge-union of the covering and the incomparability graph of P. We characterize some ⊲ - preserving subposets of the posets whose cover-incomparability graph contains forbidden induced subgraph of the line graph.

Keywords
Cover-incomparabilitygraph, Blockgraph, Line graph, Poset
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