Dimension and Depth of Monomial Edge Ideals of Line Graphs and Cycles by using Local Cohomology

Authors

  • Sohail Zafar Department of Mathematics, University of Management and Technology Lahore, Pakistan.
  • Zohaib Zahid Department of Mathematics, University of Management and Technology Lahore, Pakistan.
  • Adnan Aslam Department of Mathematics, University of Management and Technology Sialkot Campus, Pakistan.

Keywords:

monomial edge ideal, local cohomology, cycle, line

Abstract

We use local cohomology to compute dimension and depth of monomial edge ideals of line and cycle graphs. In both cases we computed projective dimension as an application. 

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Published

2015-12-31

Issue

Vol. 47 No. 2 (2015)

Section

Articles

How to Cite

Dimension and Depth of Monomial Edge Ideals of Line Graphs and Cycles by using Local Cohomology. (2015). Punjab University Journal of Mathematics, 47(2), 28-32. https://pujm.pu.edu.pk/index.php/pujm/article/view/49

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