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WGU C959: Discrete Math I (Unit 6) With Questions And 100% VERIFIED ANSWERS
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WGU C959: Discrete Math I (Unit 6) With Questions And 100% VERIFIED ANSWERS
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JACKLINEWGU C959: Discrete Math I (Unit 6) With Questions And
100% VERIFIED ANSWERS
x B x for all x in X; every element has a self-loop
reflexive binary relation
anti-reflexive binary relation no element has a self-loop
x B y and y B z implies x B z for all x, y , z in X
transitive binary relation
x B y implies y B x for all x, y in X; loop forms
between two elements
symmetric binary relation
anti-symmetric binary relation no loops form between two elements
a sequence of alternating vertices and edges that starts and ends with a vertex
Walks in a directed graph
e.g. the flight possibilities between two cities
trail open walk in which no edge occurs more than once
circuit closed walk in which no edge occurs more than once
path a trail in which no vertex occurs more than once
a circuit of length at least 1 in which no vertex occurs more than once, except the
cycle
first and last vertices which are the same
The pair (a, c) is in S o R if and only if there is a "b" in A such that (a, b) is in R and (b,
Composition of relations
c) is in S
Graph Powers: The k-th power of a graph is a new graph created from the original
graph, but with some added edges:
In the original graph, two nodes are connected by an edge if they are directly
Graph Powers
connected (one step away).
In the k-th power of the graph, two nodes are connected by an edge if they are at
most k steps away from each other in the original graph.
1/2
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