(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.
(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
Problem 1PE
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