(i) Every tree (V, E) can be 2-colored, i.e., there is f: V→ {0, 1} such that f(u) ‡ f(v) for all {u, v} EE. (ii) If deg(v) = {1,3} for all nodes v € V of a tree T = (V, E), then the number of leaves of T is exactly [(n+1)/2]. (iii) The union (V, EUE') of two trees (V, E) and (V, E') is a forest.

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
Section: Chapter Questions
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Q1: Which of the following are correct?
(i) Every tree (V, E) can be 2-colored, i.e., there is f: V →
{u, v} E E.
{0, 1} such that f(u) ‡ f(v) for all
(ii) If deg(v) = {1,3} for all nodes v EV of a tree T = (V, E), then the number of leaves of T is exactly
[(n+1)/2].
(iii) The union (V, EUE') of two trees (V, E) and (V, E') is a forest.
Transcribed Image Text:Q1: Which of the following are correct? (i) Every tree (V, E) can be 2-colored, i.e., there is f: V → {u, v} E E. {0, 1} such that f(u) ‡ f(v) for all (ii) If deg(v) = {1,3} for all nodes v EV of a tree T = (V, E), then the number of leaves of T is exactly [(n+1)/2]. (iii) The union (V, EUE') of two trees (V, E) and (V, E') is a forest.
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