Advances and Applications in Discrete Mathematics

The Advances and Applications in Discrete Mathematics is a prestigious peer-reviewed journal indexed in the Emerging Sources Citation Index (ESCI). It is dedicated to publishing original research articles in the field of discrete mathematics and combinatorics, including topics such as graphs, coding theory, and block design. The journal emphasizes efficient and powerful tools for real-world applications and welcomes expository articles that highlight current developments in the field.

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PROBABILITY MEASURE INDUCED BY GRAPHS

Authors

  • Annary B. De Leon
  • Regimar A. Rasid
  • Rosalio G. Artes Jr

Keywords:

probability measure, probable graph, graphical sequence

DOI:

https://doi.org/10.17654/0974165824015

Abstract

In this paper, we defined a probability measure induced by graphs. Moreover, we established results on probable graphs with respect to graphical sequences.

Received: December 1, 2023
Accepted: February 27, 2024

References

R. B. Ash, Basic Probability Theory Dover edition, Basic Concept (p. 1-3), Dover Publications, Inc., 31 East 2nd Street, Mineola, N.Y. 11501, 2008.

J. A. Bony and U. S. R. Murty, Graph Theory with Applications, Graphs and Simple Graphs (p. 1), Elsevier Science Publishing Co., Inc., 52 Vanderbilt Avenue, New York, N.Y. 10017, 1976.

G. Grimmett, Probability on Graphs: Random Processes on Graphs and Lattices, Statistical Laboratory, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WB, United Kingdom, 2012.

F. Harary, Graph Theory, Discovery (p. 1-2) and Graphs (p. 8) Addison-Wesley Publishing Company, Inc., 1969.

R. V. Hogg and E. A. Tanis, Probability and Statistical Inference 4th edition, Basic Concept (p. 2) and Methods of Enumeration (p. 82-86), Prentice Hall Englewood Cliffs, New Jersey 07632, 1993.

A. M. Mood, F. A. Graybill and D. C. Boes, Introduction to the Theory of Statistics, 3rd ed., McGraw-Hill, Inc., 1974.

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Published

2024-03-09

Issue

Vol. 41 No. 3 (2024)

Section

Articles

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How to Cite

PROBABILITY MEASURE INDUCED BY GRAPHS. (2024). Advances and Applications in Discrete Mathematics, 41(3), 213-222. https://doi.org/10.17654/0974165824015

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