In this paper, we present a novel encryption-less algorithm to enhance security in transmission of data packets across mobile ad hoc networks. The paper hinges on the paradigm of multipath routing and exploits the properties of polynomials. The first step in the algorithm is to transform the data such that it is impossible to obtain any information without possessing the entire transformed data...

Understanding, predicting the overall configuration from its constituent parts is an important challenge in Machine Learning and Artificial Intelligence. Agents trained to reason about subparts can then be combined to form complicated reasoning systems. Jigsaw Puzzle solving is an avenue in which the di↵erent components have to be correctly placed in order to create a plausible image from its c...

This is a brief overview of light scalar meson spectroscopy, addressing longstanding problems, recent developments and future perspectives. In particular, a new comprehensive data analysis is introduced which will help to unravel the structure of the f0(980).

A random jigsaw puzzle is constructed by arranging n2 square pieces into an n× n grid and assigning to each edge of a piece one of q available colours uniformly at random, with the restriction that touching edges receive the same colour. We show that if q = o(n) then with high probability such a puzzle does not have a unique solution, while if q ≥ n1+ε for any constant ε > 0 then the solution i...

The coordinated growth of epidermal cells in plant leaves creates the characteristic jigsaw puzzle appearance of the pavement cells. Now, Xu et al. (2010) report that AUXIN-BINDING PROTEIN 1 mediates auxin activation of two GTPase pathways that antagonistically control planar morphogenesis of leaf epidermal cells to create this distinctive pattern.

The puzzle assembly problem has many application areas such as restoration and reconstruction of archeological findings, repairing of broken objects, solving jigsaw type puzzles, molecular docking problem, etc. The puzzle pieces usually include not only geometrical shape information but also visual information such as texture, color, and continuity of lines. This paper presents a new approach t...

We consider a problem introduced by Mossel and Ross [Shotgun assembly of labeled graphs, arXiv:1504.07682]. Suppose a random n×n jigsaw puzzle is constructed by independently and uniformly choosing the shape of each “jig” from q possibilities. We are given the shuffled pieces. Then, depending on q, what is the probability that we can reassemble the puzzle uniquely? We say that two solutions of ...

In this paper, we proposed a method for solving the rectangle piece jigsaw puzzle assembly problem. A shape of a piece is a rectangle, and a picture of a puzzle is only painted in black and white, i.e., puzzles are processed as binary images. The assembly of the puzzle is performed only using information of the pixel value on the border line of the pieces. This problem cannot be solved by the s...