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Programming and data structure miscellaneous

Programming & Data Structure

  1. A graph is self-complementary if it is isomorphic to its complement. For all self-complementary graphs on n vertices, n is
    1. A multiple of 4
    2. Even
    3. Odd
    4. Congruent to 0 mod 4, 1 mod 4
Correct Option: D

An n vertex self complementary graph has exactly half number of edges of the complete graph

i.e.,
n(n - 1)
edges.
4

Since n (n –1) must be divisible by 4, n must be congruent to 0 or 1 module 4.



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