Direct Product of B-Algebra Using Some Cycles of Aunu Permutation Pattern; Application in Graph Theory

2019 ◽  
Vol 9 (1) ◽  
pp. p8592
Author(s):  
M. A. Mungadi ◽  
A. A. Haliru ◽  
S. Abdulrahman ◽  
M. S. Magami
Keyword(s):  
Graph Theory ◽  
Direct Product ◽  
Permutation Pattern ◽  
Pattern Application

scholarly journals Total and Cototal Domination Number of Some Zero Divisor Graph

2019 ◽  
Vol 8 (3S2) ◽  
pp. 950-952
Keyword(s):  
Graph Theory ◽  
Commutative Ring ◽  
Direct Product ◽  
Zero Divisor ◽  
Domination Number ◽  
Commutative Rings ◽  
Ring Theory ◽  
Research Topics ◽  
Zero Divisor Graph ◽  
Domination In Graphs

The concept of zero divisor graphs of a commutative ring leads to various research topics since it relates both Ring theory and Graph theory. Domination in graphs has its own development in each field it enters. In this paper, We have given few results on Total and cototal domination number of some zero divisor graph on direct product of commutative rings.

Pattern Recognition in Histo-Pathology: Basic Considerations

1982 ◽  
Vol 21 (01) ◽  
pp. 15-22 ◽  
Author(s):  
W. Schlegel ◽  
K. Kayser
Keyword(s):  
Pattern Recognition ◽  
Graph Theory ◽  
Normal Tissue ◽  
Diagnostic Procedures ◽  
Minimal Distance ◽  
Malignant Growth ◽  
Colon Tissue ◽  
First Results ◽  
Tissue Structures ◽  
The Given

A basic concept for the automatic diagnosis of histo-pathological specimen is presented. The algorithm is based on tissue structures of the original organ. Low power magnification was used to inspect the specimens. The form of the given tissue structures, e. g. diameter, distance, shape factor and number of neighbours, is measured. Graph theory is applied by using the center of structures as vertices and the shortest connection of neighbours as edges. The algorithm leads to two independent sets of parameters which can be used for diagnostic procedures. First results with colon tissue show significant differences between normal tissue, benign and malignant growth. Polyps form glands that are twice as wide as normal and carcinomatous tissue. Carcinomas can be separated by the minimal distance of the glands formed. First results of pattern recognition using graph theory are discussed.

Application of Graph Theory in Social Media

2018 ◽  
Vol 6 (10) ◽  
pp. 722-729 ◽  
Author(s):  
Anwesha Chakraborty ◽  
Trina Dutta ◽  
Sushmita Mondal ◽  
Asoke Nath
Keyword(s):  
Social Media ◽  
Graph Theory
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