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ON CO-SEGREGATED GRAPHS
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A connected graph G is totally segregated if every pair of adjacent vertices has distinct degrees. In this article, the class of graphs called co-segregated graphs which are complements of totally segregated graphs is discussed. The maximum size of connected totally segregated graph is found by finding minimum size of a large class of co-segregated graphs. We provide an algorithm to find minimum size of co-segregated graph. A construction of co-segregated graph of order n with minimum size is also described.
Title: ON CO-SEGREGATED GRAPHS
Description:
A connected graph G is totally segregated if every pair of adjacent vertices has distinct degrees.
In this article, the class of graphs called co-segregated graphs which are complements of totally segregated graphs is discussed.
The maximum size of connected totally segregated graph is found by finding minimum size of a large class of co-segregated graphs.
We provide an algorithm to find minimum size of co-segregated graph.
A construction of co-segregated graph of order n with minimum size is also described.
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