A tree is called central if its center is K1 and bicentral if its center is...

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Advance Math

A tree is called central if its center is K₁ andbicentral if its center is K₂. Show that every tree iseither central or bicentral without using the theorem that thecenter of every connected graph G lies in a single block.

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tree of order 1 or 2 is already central or bicentrallet order of tree be 3there are always at least two nodesleaf of degree 1 to beremoved it is clear that T must also have at least one node whose degreeis greater than 1where q is the number of edges in TBut qn1 as Size of Tree is One Less than OrderSo if each node has degree 1 then See Answer

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A tree is called central if its center is K1 and bicentral if its center is...

50.1K

Verified Solution

Question

Advance Math

A tree is called central if its center is K₁ andbicentral if its center is K₂. Show that every tree iseither central or bicentral without using the theorem that thecenter of every connected graph G lies in a single block.

Answer & Explanation Solved by verified expert

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A tree is called central if its center is K1 and bicentral if its center is...

50.1K

Verified Solution

Question

Advance Math

A tree is called central if its center is K1 andbicentral if its center is K2. Show that every tree iseither central or bicentral without using the theorem that thecenter of every connected graph G lies in a single block.

Answer & Explanation Solved by verified expert

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A tree is called central if its center is K₁ andbicentral if its center is K₂. Show that every tree iseither central or bicentral without using the theorem that thecenter of every connected graph G lies in a single block.