Calculate the probability that III1 is a carrier for the disorder.

Human Anatomy & Physiology (11th Edition)
11th Edition
ISBN:9780134580999
Author:Elaine N. Marieb, Katja N. Hoehn
Publisher:Elaine N. Marieb, Katja N. Hoehn
Chapter1: The Human Body: An Orientation
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Problem 1RQ: The correct sequence of levels forming the structural hierarchy is A. (a) organ, organ system,...
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Calculate the probability that III1 is a carrier for the disorder.

### Graph Theory: Understanding Bipartite Graphs

In the study of graph theory, a bipartite graph is a special type of graph wherein the set of vertices can be divided into two disjoint and independent sets, such that every edge connects a vertex in one set to a vertex in the other set. These sets are typically denoted as U and V. 

**Diagram Analysis:**

The diagram provided represents a bipartite graph. In this graph:
- There are two sets of vertices: one represented by circles and the other by squares.
- There are no edges connecting vertices within the same set (i.e., no edge between two circles or two squares).
- Each edge connects a circle (one set) to a square (the other set).

Specifically, in this case:
- The circles represent one set of vertices, denoted by the color white.
- The squares represent another set of vertices, some of which are colored blue to possibly indicate a special subset within the graph or to highlight particular vertices.
- The edges are simple lines connecting circles to squares, demonstrating the relationships between the two sets.

**Key Points:**
- **Bipartite Graph:** A graph whose vertices can be divided into two disjoint sets such that no two graph vertices within the same set are adjacent.
- **Vertex Sets:** Circles (one set) and squares (the other set).
- **Edges:** Lines between circles and squares indicating connections.

This bipartite nature is fundamental in many graph theory problems and applications, such as matching problems, network flow, and more. Understanding how to visually and conceptually interpret bipartite graphs is crucial for further exploration in combinatorial optimization and network analysis.
Transcribed Image Text:### Graph Theory: Understanding Bipartite Graphs In the study of graph theory, a bipartite graph is a special type of graph wherein the set of vertices can be divided into two disjoint and independent sets, such that every edge connects a vertex in one set to a vertex in the other set. These sets are typically denoted as U and V. **Diagram Analysis:** The diagram provided represents a bipartite graph. In this graph: - There are two sets of vertices: one represented by circles and the other by squares. - There are no edges connecting vertices within the same set (i.e., no edge between two circles or two squares). - Each edge connects a circle (one set) to a square (the other set). Specifically, in this case: - The circles represent one set of vertices, denoted by the color white. - The squares represent another set of vertices, some of which are colored blue to possibly indicate a special subset within the graph or to highlight particular vertices. - The edges are simple lines connecting circles to squares, demonstrating the relationships between the two sets. **Key Points:** - **Bipartite Graph:** A graph whose vertices can be divided into two disjoint sets such that no two graph vertices within the same set are adjacent. - **Vertex Sets:** Circles (one set) and squares (the other set). - **Edges:** Lines between circles and squares indicating connections. This bipartite nature is fundamental in many graph theory problems and applications, such as matching problems, network flow, and more. Understanding how to visually and conceptually interpret bipartite graphs is crucial for further exploration in combinatorial optimization and network analysis.
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