Edge Contraction
المؤلف:
Bollobás, B. Modern
المصدر:
Graph Theory. New York: Springer-Verlag, 1998.Diestel, R. Graph Theory, 3rd ed. New York: Springer-Verlag, 1997.
الجزء والصفحة:
...
8-4-2022
2091
Edge Contraction
In a graph
, contraction of an edge
with endpoints
is the replacement of
and
with a single vertex such that edges incident to the new vertex are the edges other than
that were incident with
or
. The resulting graph, denoted
, has one less edge than
.
Graph minors are defined in terms of edge contractions.
REFERENCES
Bollobás, B. Modern Graph Theory. New York: Springer-Verlag, 1998.Diestel, R. Graph Theory, 3rd ed. New York: Springer-Verlag, 1997.
West, D. B. Introduction to Graph Theory, 2nd ed. Upper Saddle River, NJ: Prentice Hall, p. 84, 2001.
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