Identifying irreducible loops in the Instrumentation Point Graph

2011 ◽  
Vol 57 (7) ◽  
pp. 720-733
Author(s):  
Adam Betts ◽  
Guillem Bernat
Keyword(s):  
Point Graph

A note on the degree conjecture for separability of multipartite quantum states

2021 ◽  
pp. 2050048
Author(s):  
Zhen Wang ◽  
Ming-Jing Zhao ◽  
Zhi-Xi Wang
Keyword(s):  
Quantum States ◽  
Point Graph ◽  
Mixed States ◽  
Degree Condition ◽  
Graph Laplacians ◽  
Nearest Point ◽  
Necessary And Sufficient ◽  
Ppt Criterion ◽  
Math Phys ◽  
Degree Criterion

The degree conjecture for bipartite quantum states which are normalized graph Laplacians was first put forward by Braunstein et al. [Phys. Rev. A 73 (2006) 012320]. The degree criterion, which is equivalent to PPT criterion, is simpler and more efficient to detect the separability of quantum states associated with graphs. Hassan et al. settled the degree conjecture for the separability of multipartite quantum states in [J. Math. Phys. 49 (2008) 0121105]. It is proved that the conjecture is true for pure multipartite quantum states. However, the degree condition is only necessary for separability of a class of quantum mixed states. It does not apply to all mixed states. In this paper, we show that the degree conjecture holds for the mixed quantum states of nearest point graph. As a byproduct, the degree criterion is necessary and sufficient for multipartite separability of [Formula: see text]-qubit quantum states associated with graphs.

Number of no nisomorphic subgraphs in an n-point graph

1971 ◽  
Vol 9 (3) ◽  
pp. 155-160 ◽  
Author(s):  
A. D. Korshunov
Keyword(s):  
Point Graph

scholarly journals Certain topological indices and polynomials for the semitotal-point graph and line graph of semitotal-point graph for Dutch windmill graph

2020 ◽  
Vol 3 (2) ◽  
pp. 63
Author(s):  
Salma Kanwal ◽  
Mariam Imtiaz ◽  
Ayesha Manzoor ◽  
Nazeeran Idrees ◽  
Ammara Afzal
Keyword(s):  
Line Graph ◽  
Topological Indices ◽  
Point Graph ◽  
Zagreb Index ◽  
Harmonic Index ◽  
Zagreb Indices ◽  
Symmetric Division ◽  
Augmented Zagreb Index ◽  
Forgotten Index

<p>Dutch windmill graph [1, 2] and denoted by <em>Dnm</em>. Order and size of Dutch windmill graph are (<em>n</em>−1)<em>m</em>+1 and mn respectively. In this paper, we computed certain topological indices and polynomials i.e. Zagreb polynomials, hyper Zagreb, Redefined Zagreb indices, modified first Zagreb, Reduced second Zagreb, Reduced Reciprocal Randi´c, 1st Gourava index, 2nd Gourava index, 1st hyper Gourava index, 2nd hyper Gourava index, Product connectivity Gourava index, Sum connectivity Gourava index, Forgotten index, Forgotten polynomials, <em>M</em>-polynomials and some topological indices in term of the <em>M</em>-polynomials i.e. 1st Zagreb index, 2nd Zagreb index, Modified 2nd Zagreb, Randi´c index, Reciprocal Randi´c index, Symmetric division, Harmonic index, Inverse Sum index, Augmented Zagreb index for the semitotal-point graph and line graph of semitotal-point graph for Dutch windmill graph.</p>

scholarly journals Evaluation of a method of the isosurface extaction using critical point graph

2005 ◽  
Vol 25 (Supplement1) ◽  
pp. 143-146
Author(s):  
Yuriko TAKESHIMA ◽  
Nobuko MATSUMOTO ◽  
Yoshio SUZUKI ◽  
Norihiro NAKAJIMA ◽  
Koji KOYAMADA
Keyword(s):  
Critical Point ◽  
Point Graph

scholarly journals Complex Evaluation of Safety Culture Determinants in Manufacturing Companies in Slovakia

2018 ◽  
Vol 26 (3) ◽  
pp. 184-188
Author(s):  
Erika Sujová ◽  
Helena Čierna
Keyword(s):  
Safety Culture ◽  
Research Method ◽  
Manufacturing Companies ◽  
Point Graph ◽  
Specific Research ◽  
Manufacturing Enterprises ◽  
Current State ◽  
Complex Evaluation ◽  
Questionnaire Method

Abstract The paper addresses complex evaluation of safety culture in Slovak manufacturing enterprises by utilizing specific determinants. To accommodate conditions of enterprises in Slovakia, a specific research method was developed for the study of safety culture, which can also be used for manufacturing and non-manufacturing enterprises. We have selected the questionnaire method. Due to the scope of the research, we have defined ten determinants, which form the basis for evaluation of safety culture elements. When determining the level of the specific ten determinants of safety culture, we studied interdependence between the enterprise’s industry, its size (small, medium, large) and points assigned to each determinant. The results of the study are evaluated using a 3D point graph. The discussion shows parts that were evaluated the highest or lowest and outlines suggested approaches to improve the current state.

317 Similarity Judgment Method of Critical Point Graph Using Directional Element Feature

2005 ◽  
Vol 2005.7 (0) ◽  
pp. 3-4
Author(s):  
Yasuhiro WATASHIBA ◽  
Koji SAKAI ◽  
Koji KOYAMADA ◽  
Masanori KANAZAWA
Keyword(s):  
Critical Point ◽  
Similarity Judgment ◽  
Point Graph

scholarly journals On Minimally Nonouterplanarity of the Semi Total (Point) Graph of a Graph

2009 ◽  
Vol 1 (3) ◽  
pp. 551-557
Author(s):  
V. R. Kulli ◽  
K. M. Niranjan
Keyword(s):  
Point Graph ◽  
Total Point

We present here characterizations of graphs whose semi total (point) graphs are outerplanar and k-minimally nonouterplanar (k = 1, 2 or 3).Keywords: Semi total (Point) graph; Minimally nonouterplanarity; Outerplanar; Block.© 2009 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserved.DOI: 10.3329/jsr.v1i3.2578      J. Sci. Res. 1 (3), 551-557 (2009)

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