Subject Code : MATH2740
Assignment Task :

Problem 1. Draw all passible "essentially different" trees on five vertices.

NOTE 1: For those of you who know what Isomorphic" means: "essentially different" = "non-isomorphic". 

Possible

 

 

Problem 2. Suppose G = (V. E) is a graph with the following properties:

• G has NO vertices of degree 0 and

• G has more vertices of degree 3 than vertices of degree 1. Show that G has more edges than vertices (Hint: For i E Pj. let 11; be the set of vertices with degree i and let V1 he the set of venial; with degree at least 4). 

 

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  • Posted on : December 02nd, 2018

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