Graph Theory Papers Of UPTU
 

I need the BTECH Graph Theory exam paper and syllabus issued by Dr. A.P.J. Abdul Kalam Technical University (UPTU)?

Re: Graph Theory Papers Of UPTU
 

Don’t worry I will get the Dr. A.P.J. Abdul Kalam Technical University (UPTU), BTECH Graph Theory exam paper and syllabus



UPTU Graph Theory Paper

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Here is the syllabus
Unit-I
Set Theory: Introduction, Combination of sets, Multisets, Ordered pairs,Set Identities.
Relations: Definition, Operations on relations, Properties of relations, Composite Relations, Equality of relations, Order of relations.
Functions: Definition, Classification of functions,Operations on functions, Recursively defined functions. Natural Numbers: Introduction, Mathematical Induction, Variants of Induction, Induction with Nonzero Base cases.

Unit-II
Algebraic Structures: Definition, Groups, Subgroupsand order, Cyclic Groups, Cosets, Lagrange's theorem, Normal Subgroups, Permutation and Symmetric groups, Group Homomorphisms, Definition and elementary properties of Rings and Fields, Integers Modulo n.

Unit-III
Partial order sets: Definition, Partial order sets,Combination of partial order sets, Hasse diagram. Lattices: Definition, Properties of lattices – Bounded, Complemented, Modular and Complete Lattice,Morphisms of lattices. Boolean Algebra: Introduction, Axioms and Theorems of Boolean algebra, Algebraic manipulation of Boolean expressions. Simplificationof Boolean Functions, Karnaugh maps, Logic gates, Digital circuits and Boolean algebra. Combinational and sequential Circuits

Unit-IV
Propositional Logic: Proposition, well formed formula, Truth tables, Tautology, Satisfiability, Contradiction, Algebra of proposition, Theory of Inference ,Natural Deduction. Predicate Logic: First order predicate, well formedformula of predicate, quantifiers, Inference theory of predicate logic.

Unit-V
Trees : Definition, Binary tree, Binary tree traversal, Binary search tree.
Graphs: Definition and terminology, Representation of graphs, Multigraphs, Bipartite graphs, Planar graphs, Isomorphism and Homeomorphism of graphs, Euler and Hamiltonian paths, Graph coloring . Recurrence Relation & Generating function: Recursive definition of functions, Recursive algorithms, Method of solving recurrences.
Combinatorics: Introduction, Counting Techniques, Pigeonhole Principle

Address:-
Dr. A.P.J. Abdul Kalam Technical University
IET Campus, Sitapur Road, Lucknow, Uttar Pradesh 226021

Phone:-
0522 273 2193