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http://dx.doi.org/10.4134/CKMS.c180068

ALGEBRAIC CHARACTERIZATION OF GRAPHICAL DEGREE STABILITY  

Anwar, Imran (Abdus Salam School of Mathematical Sciences G. C. University)
Khalid, Asma (Abdus Salam School of Mathematical Sciences G. C. University)
Publication Information
Communications of the Korean Mathematical Society / v.34, no.1, 2019 , pp. 113-125 More about this Journal
Abstract
In this paper, we introduce the elimination ideal $I_D(G)$ associated to a simple finite graph G. We obtain the upper bound of Castelnuovo-Mumford regularity of elimination ideal for various classes of graphs.
Keywords
degree sequence of graphs; Castelnuovo-Mumford regularity; stable ideals; Borel type ideal; primary decomposition of ideals;
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