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INVERTED DISTANCE AND INVERTED WIENER INDEX

Advances and Applications in Discrete Mathematics, 2016
The Wiener index is the sum of distances between all pairs of vertices of a (connected) graph. In this paper, we define two novel graph invariants: the inverted distance and the inverted Wiener index. The inverted distance between any two different vertices u and v of a simple connected graph G is defined as: i(u, v) = D - d(u, v) + 1, where D denotes ...
Cancan, Murat, Ediz, Süleyman
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Duals Invert

Applied Categorical Structures, 2009
The review partly uses the authors' abstract. As the authors notice, monoidal objects (pseudomonoids) in monoidal bicategories share many properties with monoidal categories. The existence of (left or right) duals in monoidal categories permits to define dualization operations; a related definition was suggested for monoidal objects by \textit{B.
Ignacio López Franco   +2 more
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ON OPTIMAL INVERTERS

The Bulletin of Symbolic Logic, 2014
AbstractLeonid Levin showed that every algorithm computing a function has an optimal inverter. Recently, we applied his result in various contexts: existence of optimal acceptors, existence of hard sequences for algorithms and proof systems, proofs of Gödel’s incompleteness theorems, analysis of the complexity of the clique problem assuming the ...
Yijia Chen 0001, Jörg Flum
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To invert or not to invert

The Arithmetic Teacher, 1963
The teaching of the division of fractions has been and continucs to he a conccm of Leachcrs and wri ters in Lhc field of teaching arit hmctic. Should children merely be told to in vert nnd multiply, or should Lhey divide by the common-denominator method, or would some other method better promote learning?
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Unilaterally Invertible Normals are Invertible

The Quarterly Journal of Mathematics, 2001
Let \(A\) be a complex unital Banach algebra with unit. An element of \(A\) is hermitian if it has real spatial numerical range when considered as an operator in \(\mathcal L(A)\). An element \(r\) is called normal if there are two hermitian elements \(s, t\) of \(A\) such that \(st = ts\) and \(r = s + it.\) It is shown that every normal element of ...
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Invertible grayscale

ACM Transactions on Graphics, 2018
Once a color image is converted to grayscale, it is a common belief that the original color cannot be fully restored, even with the state-of-the-art colorization methods. In this paper, we propose an innovative method to synthesize invertible grayscale.
Menghan Xia   +2 more
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Inverted Nipples

Plastic and Reconstructive Surgery, 1980
A method of correction of inverted nipples is presented, which appears to be simple, safe, and effective, leaving little scarring.
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