Choose the best answer. An algorithm to determine if a graph with n=>3 vertices is a star is: a.Pick any node; if its degree is 1, traverse to a neighbor node. Consider the node you end up with. If its degree is not n-1, return false, else check that all its neighbors have degree 1: if so, return true, else return false. b.Pick any node; if its degree is n-1, traverse to a neighbor node. Consider the node you end up with. If its degree is not 1, return true, else check that all its neighbors have degree n-1: if so, return true, else return false. c.Pick any node; if its degree is 3, traverse to a neighbor node. Consider the node you end up with. If its degree is not n-1, return false, else check that all its neighbors have degree 3: if so, return true, else return false. d. Pick any node; if its degree is n-3, traverse to a neighbor node. Consider the node you end up with. If its degree is not n-3, return true, else check that all its neighbors have degree 3: if so, return false, else return true

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Choose the best answer. An algorithm to determine if a graph with n=>3 vertices is a star is:

a.Pick any node; if its degree is 1, traverse to a neighbor node. Consider the node you end up with. If its degree is not n-1, return false, else check that all its neighbors have degree 1: if so, return true, else return false.

b.Pick any node; if its degree is n-1, traverse to a neighbor node. Consider the node you end up with. If its degree is not 1, return true, else check that all its neighbors have degree n-1: if so, return true, else return false.

c.Pick any node; if its degree is 3, traverse to a neighbor node. Consider the node you end up with. If its degree is not n-1, return false, else check that all its neighbors have degree 3: if so, return true, else return false.

d. Pick any node; if its degree is n-3, traverse to a neighbor node. Consider the node you end up with. If its degree is not n-3, return true, else check that all its neighbors have degree 3: if so, return false, else return true

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