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Journal für die reine und angewandte Mathematik (Crelles Journal), 2023
Abstract We prove a conjecture by Ene, Herzog, and Hibi (2011) that the Betti numbers of the binomial edge ideal J G
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Abstract We prove a conjecture by Ene, Herzog, and Hibi (2011) that the Betti numbers of the binomial edge ideal J G
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Binomial Edge Ideals and Related Ideals
2018In this chapter we consider classes of binomial ideals which are naturally attached to finite simple graphs. The first of these classes are the binomial edge ideals. These ideals may also be viewed as ideals generated by a subset of 2-minors of a (2 × n)-matrix of indeterminates. Their Grobner bases will be computed.
Jürgen Herzog +2 more
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Edge saturation fields and dynamic edge modes in ideal and nonideal magnetic film edges
Physical Review B, 2006This paper describes modeling of the micromagnetic behavior near edges of ferromagnetic thin films when uniform fields are applied in plane and perpendicular to the edge. The properties of magnetic film edges can determine the behavior of small patterned elements, either by proximity in the smallest elements or because reversal often nucleates at an ...
R. D. McMichael, B. B. Maranville
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2013
Computer algebra systems, like Macaulay 2 [80], Singular [47], and CoCoA [39], have become essential tools for many mathematicians in commutative algebra and algebraic geometry. These systems provide a “laboratory” in which we can experiment and play with new ideas.
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Computer algebra systems, like Macaulay 2 [80], Singular [47], and CoCoA [39], have become essential tools for many mathematicians in commutative algebra and algebraic geometry. These systems provide a “laboratory” in which we can experiment and play with new ideas.
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Communications in Algebra, 1995
Let G be a graph and let I be its edge ideal. We express the presentation ideal of R(I), the Rees algebra of I, in terms of the syzygies of I and the presentation ideal of the special fiber of R(I). A description of the elementary integral vectors of the kernel of the incidence matrix of G is given and then used to study the special fiber of R(I) via ...
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Let G be a graph and let I be its edge ideal. We express the presentation ideal of R(I), the Rees algebra of I, in terms of the syzygies of I and the presentation ideal of the special fiber of R(I). A description of the elementary integral vectors of the kernel of the incidence matrix of G is given and then used to study the special fiber of R(I) via ...
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Security and Privacy on 6G Network Edge: A Survey
IEEE Communications Surveys and Tutorials, 2023Bomin Mao, Jiajia Liu, Yingying Wu
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Resource Scheduling in Edge Computing: A Survey
IEEE Communications Surveys and Tutorials, 2021Quyuan Luo, Shihong Hu, Changle Li
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Federated Learning in Mobile Edge Networks: A Comprehensive Survey
IEEE Communications Surveys and Tutorials, 2020Bryan Wei Yang Lim +2 more
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Convergence of Edge Computing and Deep Learning: A Comprehensive Survey
IEEE Communications Surveys and Tutorials, 2020Xiaofei Wang +2 more
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Video Caching, Analytics, and Delivery at the Wireless Edge: A Survey and Future Directions
IEEE Communications Surveys and Tutorials, 2021Behrouz Jedari +2 more
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