In this unit you have to focus more on the Prepositional logic, Logic Families, Representation of Integers.
Discrete Structures for the ugc net and gate
Detailed Syllabus for Discrete Mathematics
1. Proposition Logic:
Implication, Equivalence, Bidirectional,
Converse, Inverse, Contra positive.
Rules of Inference (modus poners,
modus tollens, hypothetical syllogism, disjunctive syllogism).
Precedence of logic operators.
Quantifiers, negation of
quantifier, skolemization.
Horn clause, Definite clause, Goal
clause.
Duality.
Vacuous proof, Trivial Proof,
Direct Proof, Indirect Proof.
Set, Relation, Function:
Real number, Integer, Positive
Integer, Natural Number, Whole Number.
Set, null set, Equal Set,
Euivalence set, Disjoint set, number of subset in a set.
Function, Domain, co domain,
Range, Types of function (Injective, Surjective, Bijective, One to One correspondence,
Injective), Inverse of a function.
Cartesian product.
Relation and types of Relation.
Composition of functions.
Probability.
Graph:
Graph, self loop, parallel edge,
simple graph, multi graph, pseudo graph, null graph, trivial graph, finite
graph, isolated vertex, pendant vertex, connected graph, weakly connected
graph, strongly connected graph.
Handshakking theorem.
Regular graph, complete graph,
Bipartite graph, Havel hakimi theorem, complete bipartite graph.
Chromatic number of a graph,
number of regions in a graph, predicate.
Isomorphism, elementary subdivision.
Adjacency matrix, vertex to edge connectivity.
Cut vertices, cut edges, vertex
connectivity, number of articulation
points.
Euler circuit, Euler path,
Hamiltonial circuit, Hamiltonian path, Dirac’s theorem, Oreo’s Theorem.
Clique, compliment of a graph.
Traversal: walk, path, Distance of
vertex(u,v), eccentricity, Diameter, Radius.
How to clear ugc net exam in first attempt?
All about UGC NET Preparation Tips  I cleared the UGC NET in my first attempt. Here in this post, i share some important tips with you.
There are some questions that need to be answered before going to the intended phase.
How to Qualify the UGC NET
All about UGC NET Preparation Tips  I cleared the UGC NET in my first attempt. Here in this post, i share some important tips with you.
There are some questions that need to be answered before going to the intended phase.
How to Qualify the UGC NET
What is UGC Net exam?
UGC Net exam is one of the prestigious exam in India. It is an eligibility for Assistant Professor in higher education.
Who can apply for the UGC Net exam?
Any candidate who is doing his/ her master or completed his master degree can apply for the UGC NET.
It is no less than any tough exam. So you need to be prepared much well for clearing the UGC NET exam.
What are the advantageous of clearing the UGC Net exam?
Yes, a great question. So don't worry let me tell you all the benefits that a student can avail after clearing the UGC NET exam. The advantageous are as: You can apply for the PhD in any universities in India.
 You will have a basic eligibility for the Assistant Professor in higher education.
 You can avail scholarship by the central govt.
How many papers are there for the net exam?
Initially, there were three papers: paper 1, paper 2, paper 3. Paper 1 was general that was same for all the students that was comprised of 50 questions. Paper 2 and paper 3 was related to the students' subject in which they are doing their masters. Now the pattern has changed and there will be only two papers. Paper 1 is general paper that is same for all the students which is comprised of 50 questions each carry 2 marks. Paper 2 is related to students streams which is comprised of 100 questions each carry 2 marks. So total marks for paper 1 and paper 2 = 300.
Now lets come to the main point that how to clear the UGC NET. The steps are as follows;
 Check the syllabus of UGC NET. You can check the syllabus from there (UGC NET/ SET Syllabus).
 After downloading the syllabus, make sure you take printout of it because it is not wise to always check it form the website which can lead wastage of time.
 Start studying for the first paper. For it purchase a good reference book for the first paper and a separate note book where you will right important aspects. It is very important to secure 80+ marks in the first paper.
 Start studying for the second paper. For this you need to purchase many books. Friends don't rely much on the internet for reading or any channel. Books are always best. For And more thing purchase different copies for different units. For example if there are 10 units in the syllabus, make sure you have 10 copies.
 After studying, check past papers and know your drawbacks to know where you are lagging.
 Keep revising the syllabus.
I hope it will help you to qualify the UGC NET Exam.
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