01646nam a22001937a 4500003000400000005001700004008004100021020001800062040000800080082002500088100001500113245011300128250001200241260003800253300001900291501109500310650003001405650001701435OSt20200309121030.0200229b        xxu||||| |||| 00| 0 eng d  c9789350164877  cAEF  223rd ed.a511.6bAHI1 aAhire, P. 10aTextbook of graph theory:bMathematics [MTC-122]: Paper-II, Sem-II,cas per the new CBCS syllabus of 2019-20  a1st ed.  aPune:bVision publication,c2019.  a197 p.:c18 cm  aContents

1. An Introduction to Graph    

1. Introduction

2. Graph  

3. Special Types of Graphs and Basic Properties

4. Directed Graphs and Properties   

5. Some Applications of Special Type of Graphs 

6. Complement of a Graph  

7. Union, Intersection and Product of Graphs   

8. Fusion of Vertices

9. Isomorphism of Graphs  

10.Matrix Representation of Graphs and Elementary Results 

2. Connected Graph

1. Introduction

2. Walk, Trail, Path, Cycle in Graph

3. Connected Graphs and Elementary Properties  

4. Some Definitions in Connected Graph    

5. Warshall's Algorithm   

6. Isthmus and Cut Vertex 

7. Connectivity

8. Weighted Graph and Dijkstra’s Algorithm

3. Euler and Hamilton Path

1. The Konigsberg Seven Bridge Problem    

2. Fleury’s Algorithm

3. Hamiltonian Graphs

4. Trees  

1. Definitions and Basic Terminologies    

2. Properties and Applications of Trees   

3. Centre of a Tree

4. Some Definitions in Connected Graph    

5. Weighted Graph   

6. Spanning Tree: Definition and Properties    

7. M-ary tree  

8. Binary Tree 

9. Tree Traversal1 aMathematics--Graph theory1 aFYBCs-Sem-II