scholarly journals On The Radio Antipodal Mean Number of Certain Types of Ladder Graphs

2020 ◽  
Vol 09 (06) ◽  
pp. 4607-4614
Author(s):  
Kins Yenoke ◽  
Arputha Jose T ◽  
Venugopal P
Keyword(s):  
Ladder Graphs

scholarly journals Topological invariants for the line graphs of some classes of graphs

2019 ◽  
Vol 17 (1) ◽  
pp. 1483-1490
Author(s):  
Xiaoqing Zhou ◽  
Mustafa Habib ◽  
Tariq Javeed Zia ◽  
Asim Naseem ◽  
Anila Hanif ◽  
...  
Keyword(s):  
Communication Theory ◽  
Chemical Reactivity ◽  
Line Graph ◽  
Chemical Properties ◽  
Topological Invariants ◽  
Line Graphs ◽  
Physical And Chemical Properties ◽  
Physical And Chemical ◽  
Ladder Graphs ◽  
And Chemical Properties

AbstractGraph theory plays important roles in the fields of electronic and electrical engineering. For example, it is critical in signal processing, networking, communication theory, and many other important topics. A topological index (TI) is a real number attached to graph networks and correlates the chemical networks with physical and chemical properties, as well as with chemical reactivity. In this paper, our aim is to compute degree-dependent TIs for the line graph of the Wheel and Ladder graphs. To perform these computations, we first computed M-polynomials and then from the M-polynomials we recovered nine degree-dependent TIs for the line graph of the Wheel and Ladder graphs.

High-energy behaviour of ladder graphs with multiple loops

1971 ◽  
Vol 2 (22) ◽  
pp. 1146-1148 ◽  
Author(s):  
Z. Horváth ◽  
G. Pócsik
Keyword(s):  
High Energy ◽  
Energy Behaviour ◽  
Ladder Graphs

scholarly journals A Note on Inhomogeneous Percolation on Ladder Graphs

2019 ◽  
Vol 51 (3) ◽  
pp. 827-833
Author(s):  
Bernardo N. B. de Lima ◽  
Humberto C. Sanna
Keyword(s):  
Inhomogeneous Percolation ◽  
Ladder Graphs

Virial expansion for a polymer chain: the two parameter approximation

1979 ◽  
Vol 367 (1729) ◽  
pp. 143-174 ◽  
Keyword(s):  
Gaussian Model ◽  
Dominant Term ◽  
Cubic Lattices ◽  
Functional Relations ◽  
Ladder Graph ◽  
Simple Rules ◽  
The Mean ◽  
Parameter Approximation ◽  
Ladder Graphs ◽  
Two Parameter

A complete diagrammatic expansion is developed for the Domb-Joyce model of an N -step chain, with an interaction w which varies between 0 and 1. Simple rules are given for obtaining the diagrams. The correspondence between these diagrams and appropriate generating functions permits computation of the coefficients of the series α 2 N ( w ) = 1 + k 1 w + k 2 w 2 + . . ., where α 2 N ( w ) is the expansion factor of the mean square end-to-end length of the chain. The dominant term in N of each of the first three k r is shown to be identical for the three cubic lattices and for the Gaussian continuum model, with the exception of a scale factor h 0 . Retention of only this dominant term yields a ‘two-parameter’ expansion equivalent to that of Zimm (1946), Fixman (1955) and others. Diagrams are classed either as ladder or as non-ladder graphs. The ladder graph contributions are summed by using functional relations of Domb & Joyce (1972). The non-ladder contributions for the first three coefficients are computed individually, thereby yielding results for k 1 , k 2 and k 3 in terms of the ‘universal’ parameter z = h 0 N 1/2 w . The terms k 1 and k 2 agree with previous computations for the Gaussian model but k 3 differs slightly.

scholarly journals CHORD DIAGRAMS AND BPHZ SUBTRACTIONS

1996 ◽  
Vol 11 (13) ◽  
pp. 1095-1105 ◽  
Author(s):  
IOANNIS TSOHANTJIS ◽  
ALEX C. KALLONIATIS ◽  
PETER D. JARVIS ◽  
GEORGE THOMPSON
Keyword(s):  
Field Theory ◽  
Knot Theory ◽  
Equivalence Relations ◽  
Quantum Field ◽  
Subtraction Scheme ◽  
Chord Diagrams ◽  
Point Vertex ◽  
Fundamental Relationship ◽  
Perturbative Quantum ◽  
Ladder Graphs

The combinatorics of the BPHZ subtraction scheme for a class of ladder graphs for the three-point vertex in ɸ3 theory is transcribed into certain connectivity relations for marked chord diagrams (knots with transversal intersections). The resolution of the singular crossings using the equivalence relations in these examples provides confirmation of a proposed fundamental relationship between knot theory and renormalization in perturbative quantum field theory.

Student Employees and Recreational Sports Administrators: A Comparison of Perceptions

2006 ◽  
Vol 30 (1) ◽  
pp. 53-69 ◽  
Author(s):  
Gary L. Miller ◽  
Thomas E. Grayson
Keyword(s):  
Recreational Sports ◽  
Multivariate Statistical ◽  
Big Ten ◽  
Work Tasks ◽  
Multivariate Statistical Approach ◽  
Student Employees ◽  
The Mean ◽  
And Cluster Analysis ◽  
The Individual ◽  
Ladder Graphs

This study evaluates the differences in perceptions between student employees and recreational sports administrators over a consistent set of work tasks and responsibilities typically done by student employees in a recreational sports setting. The focus of the study was to provide a method of improving the effectiveness and efficiency by which recreational sports programs deliver their services and programs. Nine of the 11 schools in the Big Ten Conference participated in the study with a total of eighty-five participants taking part. Concept mapping, a multivariate statistical approach using multidimensional scaling and cluster analysis was used to analyze the data. Ninety-five work tasks were sorted for similarity and rated on scales for importance toward attaining recreational sports goals and frequency of performance. Cluster maps, ladder graphs and go-to-zones were developed from the data defining the results of the analysis. Results were presented in a composite form for the nine schools participating in the study with the intent to provide comparison between individual schools and the conference composite as requested. Cluster maps illustrated the levels of importance among the six clusters, ladder graphs demonstrated the differences between the student employees and the recreational sports administrators and go-to zones broke out the individual tasks into areas of alignment, gap zones where either importance or frequency were below the mean, and a “?” zone where neither importance nor frequency rose to the mean rating on that scale. The results allow administrators now to compare, examine, and make decisions based each of the 95 work tasks in a guided manner.

The philosophers' process on ladder graphs

1996 ◽  
Vol 12 (4) ◽  
pp. 559-583 ◽  
Author(s):  
Florence Forbes ◽  
Bernard Ycart
Keyword(s):  
Ladder Graphs

scholarly journals New Perspectives on Classical Meanness of Some Ladder Graphs

2021 ◽  
Vol 2021 ◽  
pp. 1-14
Author(s):  
A. M. Alanazi ◽  
G. Muhiuddin ◽  
A. R. Kannan ◽  
V. Govindan
Keyword(s):  
Communication Networks ◽  
Coding Theory ◽  
Transportation Engineering ◽  
Ladder Graph ◽  
Ladder Graphs

In this study, we investigate a new kind of mean labeling of graph. The ladder graph plays an important role in the area of communication networks, coding theory, and transportation engineering. Also, we found interesting new results corresponding to classical mean labeling for some ladder-related graphs and corona of ladder graphs with suitable examples.

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