A Note on Matching Covered Graphs
Abstract
A graph is called matching covered if for its every edge there is a maximum matching containing it. It is shown that line-extremal matching covered graphs contain a perfect matching.
References
Harary F., Graph Theory, Addison-Wesley, Reading, MA , 1969.
Lovasz L., Plummer M.D ., Matching Theory, Annals of Discrete Math. 29, North Holland, 1986.
West D . B., Introduction to Graph Theory, Prentice-Hall, Inc.,1996
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Published
2021-12-10
How to Cite
Mkrtchyan, V. V. . . (2021). A Note on Matching Covered Graphs. Mathematical Problems of Computer Science, 24, 104–106. Retrieved from http://mpcs.sci.am/index.php/mpcs/article/view/592
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