On the Linear Strand of an Edge Ideal

On the Linear Strand of an Edge Ideal Mike Roth and Adam Van Tuyl

Let I(G) be the edge ideal associated to a simple graph G. We study the graded Betti numbers that appear in the linear strand of the minimal free resolution of I(G).

Edge Detection Based On Nearest Neighbor Linear Cellular Automata Rules and Fuzzy Rule Based System

 Edge Detection is an important task for sharpening the boundary of images to detect the region of interest. This paper applies a linear cellular automata rules and a Mamdani Fuzzy inference model for edge detection in both monochromatic and the RGB images. In the uniform cellular automata a transition matrix has been developed for edge detection. The Results have been compared to the ...

Edge Detection Based On Nearest Neighbor Linear Cellular Automata Rules and Fuzzy Rule Based System

 Edge Detection is an important task for sharpening the boundary of images to detect the region of interest. This paper applies a linear cellular automata rules and a Mamdani Fuzzy inference model for edge detection in both monochromatic and the RGB images. In the uniform cellular automata a transition matrix has been developed for edge detection. The Results have been compared to the ...

Bounds for the Regularity of Edge Ideal of Vertex Decomposable and Shellable Graphs

Effect of Non-ideal Boundary Conditions on Buckling of Rectangular Functionally Graded Plates

We have solved the governing equations for the buckling of rectangular functionally graded plates which one of its edges has small non-zero deflection and moment. For the case that the material properties obey a power law in the thickness direction, an analytical solution is obtained using the perturbation series. The applied in-plane load is assumed to be perpendicular to the edge which has no...