Master network logic with our BCS405B Graph Theory VTU Notes. Explore paths, trees, and connectivity algorithms designed for the 2022 Scheme CSE stream at the all-new vtubuddy.in student resource portal.
Master network logic with our BCS405B Graph Theory VTU Notes. Explore paths, trees, and connectivity algorithms designed for the 2022 Scheme CSE stream at the all-new vtubuddy.in student resource portal.
Introduction to Graphs: Introduction- Basic definition – Application of graphs – finite, infinite and bipartite graphs – Incidence and Degree – Isolated vertex, pendant vertex and Null graph. Paths and circuits – Isomorphism, sub-gra
Eulerian and Hamiltonian graphs: Euler graphs, Operations on graphs, Hamiltonian paths and circuits, Travelling salesman problem. Directed graphs – types of digraphs, Digraphs and binary relation.
Trees – properties, pendant vertex, Distance and centres in a tree – Rooted and binary trees, counting trees, spanning trees.
Connectivity Graphs: Vertex Connectivity, Edge Connectivity, Cut set and Cut Vertices, Fundamental circuits.
Planar Graphs: Planar graphs, Kuratowski’s theorem (proof not required), Different representations of planar graphs, Euler’s theorem, Geometric dual.
Graph Representations: Matrix representation of graphs-Adjacency matrix, Incidence Matrix, Circuit Matrix, Path Matrix.
Graph Colouring: Colouring- Chromatic number, Chromatic polynomial, Matchings, Coverings, Four colour problem and Five colour problem. Greedy colouring algorithm.
BCS702
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BIS654C
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BCEDK103
BCSL305
BCS30122550question
BCS303
XYZS301
