Geodesic
On the Betti numbers of some classes of binomial edge ideals
Sohail Zafar1 ; Zohaib Zahid2
1Mathematics Department University of Management and Technology Lahore, Pakistan
2Abdus Salam School of Mathematical Sciences Government College University Lahore, Pakistan
The electronic journal of combinatorics, Tome 20 (2013) no. 4
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We study the Betti numbers of binomial edge ideal associated to some classes of graphs with large Castelnuovo-Mumford regularity. As an application we give several lower bounds of the Castelnuovo-Mumford regularity of arbitrary graphs depending on induced subgraphs.
DOI : 10.37236/3689
Classification : 05E40, 16E30
Mots-clés : Castelnuovo-Mumford regularity, Betti numbers, binomial edge ideal

Sohail Zafar  1   ; Zohaib Zahid  2

1 Mathematics Department University of Management and Technology Lahore, Pakistan
2 Abdus Salam School of Mathematical Sciences Government College University Lahore, Pakistan 
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     author = {Sohail Zafar and Zohaib Zahid},
     title = {On the {Betti} numbers of some classes of binomial edge ideals},
     journal = {The electronic journal of combinatorics},
     year = {2013},
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     number = {4},
     doi = {10.37236/3689},
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Sohail Zafar; Zohaib Zahid. On the Betti numbers of some classes of binomial edge ideals. The electronic journal of combinatorics, Tome 20 (2013) no. 4. doi: 10.37236/3689

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