We study list-coloring of squares of planar graphs with no 4-cycles. We show that if $G$ is such a graph, then $\chi_l(G^2)\le \Delta(G)+73$. When $\…

When inclusions with extreme conductivity (insulator or perfect conductor) are closely located, the gradient of the solution to the conductivity equa…

First, we define phase tropical hypersurfaces in terms of a degeneration data of smooth complex algebraic hypersurfaces in $(\mathbb{C}^*)^n$. Next, …

In this paper we consider several instances of the k-center on a line problem where the goal is, given a set of points S in the plane and a parameter…

A straight-line drawing $\delta$ of a planar graph $G$ need not be plane, but can be made so by \emph{untangling} it, that is, by moving some of the …

We propose a framework for localization and classification of masses in breast ultrasound (BUS) images. In particular, we simultaneously use a weakly…

The Coronary Artery Occlusion (CAO) acutely comes to human, and it highly threats the human's life. When CAO detected, Percutaneous Coronary Interven…

In this paper, we compare different types of Recurrent Neural Network (RNN) Encoder-Decoders in anomaly detection viewpoint. We focused on finding th…

For nonnegative integers $k, d_1, \ldots, d_k$, a graph is $(d_1, \ldots, d_k)$-colorable if its vertex set can be partitioned into $k$ parts so that…

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