Graph theoretical approach to carbon-13 chemical shift sum in alkanes

1989 ◽  
Vol 111 (9) ◽  
pp. 3469-3470 ◽  
Author(s):  
Yoshikatsu Miyashita ◽  
Tohru Okuyama ◽  
Hiroyuki Ohsako ◽  
Shinichi Sasaki
Keyword(s):  
Chemical Shift ◽  
Theoretical Approach ◽  
Graph Theoretical Approach

A Spectral Graph Theoretical Approach to Oriented Energy Features

2017 ◽  
Vol 31 (01) ◽  
pp. 1755001 ◽  
Author(s):  
Güleser Kalaycı Demir
Keyword(s):  
Theoretical Approach ◽  
Graph Laplacian ◽  
Texture Segmentation ◽  
Contour Detection ◽  
Feature Extraction Method ◽  
Spectral Graph ◽  
Graph Theoretical Approach ◽  
Novel Method ◽  
Oriented Energy ◽  
Complex Valued

In this work, we propose a novel method for determining oriented energy features of an image. Oriented energy features, useful for many machine vision applications like contour detection, texture segmentation and motion analysis, are determined from the filters whose outputs are enhanced at the edges of the image at a given orientation. We use the eigenvectors and eigenvalues of graph Laplacian for determining the oriented energy features of an image. Our method is based on spectral graph theoretical approach in which a graph is assigned complex-valued edge weights whose phases encode orientation information. These edge weights give rise to a complex-valued Hermitian Laplacian whose spectrum enables us to extract oriented energy features of the image. We perform a set of numerical experiments to determine the efficiency and characteristics of the proposed method. In addition, we apply our feature extraction method to texture segmentation problem. We do this in comparison with other known methods, and show that our method performs better for various test textures.

Mutually unbiased bases: a group and graph theoretical approach

2018 ◽  
Vol 94 (1) ◽  
pp. 014007 ◽  
Author(s):  
Gernot Alber ◽  
Christopher Charnes
Keyword(s):  
Theoretical Approach ◽  
Mutually Unbiased Bases ◽  
Graph Theoretical Approach

scholarly journals Identification of Asperger's from healthy individuals: Using a graph theoretical approach on the task-free fMRI data

2019 ◽  
Vol 21 (3) ◽  
pp. 74-83
Author(s):  
Jahangir Mobarezpour ◽  
Reza Khosrowabadi ◽  
Reza Ghaderi ◽  
Keivan Navi ◽  
◽  
...  
Keyword(s):  
Theoretical Approach ◽  
Fmri Data ◽  
Healthy Individuals ◽  
Graph Theoretical Approach

scholarly journals Functional dedifferentiation of the brain during healthy aging

2020 ◽  
Vol 123 (4) ◽  
pp. 1279-1282
Author(s):  
Divyangana Rakesh ◽  
Kavisha B. Fernando ◽  
Sina Mansour L.
Keyword(s):  
Older Adults ◽  
Cognitive Decline ◽  
Cognitive Deficits ◽  
Theoretical Approach ◽  
Healthy Aging ◽  
Functional Specialization ◽  
The Novel ◽  
Graph Theoretical Approach ◽  
Future Work ◽  
The Brain

Nonpathological aging is associated with significant cognitive deficits. Thus, the underlying neurobiology of aging-associated cognitive decline warrants investigation. In a recent study, Chong et al. (Chong JSX, Ng KK, Tandi J, Wang C, Poh J-H, Lo JC, Chee MWL, Zhou JH. J Neurosci 39: 5534–5550, 2019) provided insights into the association between cognitive decline and the loss of functional specialization in the brains of older adults. Here, we introduce the novel graph theoretical approach utilized and discuss the significance of their findings and broader implications on aging. We also provide alternate perspectives of their findings and suggest directions for future work.

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