There are four different human blood types: O, A, B, and AB. The relationships between donor and recipients for these blood types are as follows:- Type O can donate blood to any type.- Type AB can receive blood from any type.- Each type can donate blood to its own type.- Each type can receive blood from its own type.Which one of the following donor–recipient bipartite graphs correctly represents this information?**Graph Descriptions:**- **Graph A**: - Donor O connects to recipients O, A, B, AB. - Donors A, B, AB each connect to recipients of their same blood type.- **Graph B**: - Donor O connects to recipients O, A. - Donors A, B, AB connect to recipients of their same type. - Additional mixes not consistent with O donating to all types.- **Graph C**: - Each donor connects to all recipients. - Suggests universal donation and reception incorrectly.- **Graph D**: - Donor O connects to recipients O, A, B, AB. - Donors A, B, AB connect to recipients of their same type. - Matches given conditions.- **Graph E**: - Donor O connects to A, B, AB. - Donors A, B, AB connect to all recipients inappropriately.**Correct Answer:**- Option DThis graph correctly represents the donor-recipient relationships based on the given information.

A bipartite graph is a mathematical structure consisting of two disjoint sets of vertices, such that all edges connect vertices from different sets. In simpler terms, it is a graph whose nodes can be divided into two independent groups, and every edge connects a node from one group to a node in the other. Bipartite graphs are valuable in modeling relationships between distinct entities, such as matching problems in graph theory or representing relationships between two disparate types of objects. They find applications in various fields, including social network analysis, resource allocation, and task scheduling.From the structure, it is clear that O is Donating to all while AB is receiving from all is only shown in option D. In option D it is also clear that each type is donating and receiving from and to own. In any other structure we are not having all these conditions. So option D is correct.In option A , O is not donating to all. So A is incorrect.In option B, O is receiving from all that is not in the written rule. So B is incorrect.In option C, O is not donating to all. So C is incorrect.In Option D, all conditions are satisfying so D is correct.In Option E, AB is only receiving from AB so E is incorrect.In Option D, all conditions are satisfying so D is correct.

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There are four different human blood types: O, A, B and AB. The relationships between donor and recipients for these blood types are as follows: Type O can donate blood to any type. Type AB can receive blood from any type. Each type can donate blood to its own type. Each type can receive blood from its own type. Which one of the following donor-recipient bipartite graphs correctly represents this information? A D O A B AB donor recipient O A BAB OA BAB donor recipient O A B AB B E donor recipient O A O donor recipient B AB 41 O A BAB A B AB OAB AB C O A BAB XXX O A BAB donor recipient

There are four different human blood types: O, A, B and AB. The relationships between donor and recipients for these blood types are as follows: Type O can donate blood to any type. Type AB can receive blood from any type. Each type can donate blood to its own type. Each type can receive blood from its own type. Which one of the following donor-recipient bipartite graphs correctly represents this information? A D O A B AB donor recipient O A BAB OA BAB donor recipient O A B AB B E donor recipient O A O donor recipient B AB 41 O A BAB A B AB OAB AB C O A BAB XXX O A BAB donor recipient

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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Concept explainers

Polynomial Time

The problems for which the deterministic polynomial-time algorithm exists belong to the complexity class (p) and it is central in the field of computational complexity theory. According to Cobham’s thesis, polynomial time is a synonym for “feasible”, “fast”, and “efficient”.

Question

There are four different human blood types: O, A, B, and AB. The relationships between donor and recipients for these blood types are as follows:
- Type O can donate blood to any type.
- Type AB can receive blood from any type.
- Each type can donate blood to its own type.
- Each type can receive blood from its own type.

Which one of the following donor–recipient bipartite graphs correctly represents this information?

**Graph Descriptions:**

- **Graph A**:
- Donor O connects to recipients O, A, B, AB.
- Donors A, B, AB each connect to recipients of their same blood type.

- **Graph B**:
- Donor O connects to recipients O, A.
- Donors A, B, AB connect to recipients of their same type.
- Additional mixes not consistent with O donating to all types.

- **Graph C**:
- Each donor connects to all recipients.
- Suggests universal donation and reception incorrectly.

- **Graph D**:
- Donor O connects to recipients O, A, B, AB.
- Donors A, B, AB connect to recipients of their same type.
- Matches given conditions.

- **Graph E**:
- Donor O connects to A, B, AB.
- Donors A, B, AB connect to all recipients inappropriately.

**Correct Answer:**
- Option D

This graph correctly represents the donor-recipient relationships based on the given information.

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