Discrete Structure
Previous year question paper with solutions for Discrete Structure
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- Define a partial order relation. Give an example.
- If A B and B C then prove that A C where A, B and C are any sets.
- State the absorption law of Boolean algebra.
- Define a commutative ring.
- Write the generating function corresponding to the numeric function, an = 5.2n , n 0
- Give an example of a finite group.
- Under what condition or conditions, a non empty subset H of a group G is its subgroup.
- Find the chromatic number of the graph “A cycle on n vertices, n 3”.
- Define a Tree.
- Give an example of a connected graph that has “Neither an Euler circuit nor a Hamilton”, cycle.
- How many relations are possible from a set A of m elements to another set B of n elements? Why?
- Write two properties of sets.
- Define injection and surjection.
- Give an example of a relation which is symmetric and transitive but neither reflexive nor anti symmetric.
- Give an example of graph that has Euler Circuit but not Hamiltonian Circuit.
- Differentiate between directed and undirected graphs.
- Define monoid. Give example for the same.
- Prove by using Boolean algebra a+b.c = (a+b).(a+c)
- Define semi groups. Give example for the same.
- Define POSETS.