A tree has 7 vertices. (i) How many edges this tree can have? (ii) If the degrees of first six vertices are 1,1,1,2,2 and 3 then what is the degree of next vertex? Show all your work. (iii) If the degrees of vertices are 1,1,2,2,3,3 and 4 then is it possible to have such tree? Explain with detail

A tree has 7 vertices. (i) How many edges this tree can have? (ii) If the degrees of first six vertices are 1,1,1,2,2 and 3 then what is the degree of next vertex? Show all your work. (iii) If the degrees of vertices are 1,1,2,2,3,3 and 4 then is it possible to have such tree? Explain with detail

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

A tree has 7 vertices.

(i) How many edges this tree can have?

(ii) If the degrees of first six vertices are 1,1,1,2,2 and 3 then what is the degree of

next vertex? Show all your work.

(iii) If the degrees of vertices are 1,1,2,2,3,3 and 4 then is it possible to have such

tree? Explain with detail.

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