A Survey of Mathematics with Applications plus MyLab Math Student Access Card -- Access Code Card Package (10th Edition)
10th Edition
ISBN: 9780134115764
Author: Allen R. Angel, Christine D. Abbott, Dennis Runde
Publisher: PEARSON
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Textbook Question
Chapter 8.1, Problem 7E
In Exercises 1-10, fill in the blanks with an appropriate word, phrase, or symbol(s).
7. An angle whose measure is 90° is called a(n) _________ angle.
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9. (a) Use pseudocode to describe an algo-
rithm for determining the value of a
game tree when both players follow a
minmax strategy.
(b) Suppose that T₁ and T2 are spanning
trees of a simple graph G. Moreover,
suppose that ₁ is an edge in T₁ that is
not in T2. Show that there is an edge
2 in T2 that is not in T₁ such that
T₁ remains a spanning tree if ₁ is
removed from it and 2 is added to it,
and T2 remains a spanning tree if 2 is
removed from it and e₁ is added to it.
(c) Show that a
degree-constrained
spanning tree of a simple graph in
which each vertex has degree not
exceeding 2 2 consists of a single
Hamiltonian path in the graph.
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