How many immediate predecessors does A have?

Question

BlackTom AI · Accepted Answer

This question asks: 'How many immediate predecessors does A have?' but no diagram or relation data is provided.

To determine the number of immediate predecessors (elements directly below A in a Hasse diagram, i.e., elements B where B < A and no C exists with B < C < A), we need the specific partial order or diagram that shows how A relates to other elements.

Without that context, every option could be possible depending on the structure around A. Here are the considerations for each option:

- None: This would be correct only if there are no elements less than A that are directly covered by A, i.e., A is minimal among the elements under consideration or there is no edge from any element to A. In most nontrivial posets, this is unlikely unless A is a minimal element and there are no predecessors.
- One: This would be correct if exactly one element B satisfies B < A and there is no C with B < C < A. We would need to see a single edge into A with no intermediate elements.
- Two: This would be correct if there are exactly two elements B1 and B2 such that each is directly below A with no intermediates, and there are no other elements directly preceding A.
- Three: Similar logic for three immediate predecessors; three distinct elements directly below A with no intermediate elements between them and A.
- Four: Likewise, four immediate predecessors would require four such direct predecessors and no others.

In summary, determining the correct option requires inspecting the specific relation data or the Hasse diagram that defines which elements are less than A and which of those are immediate predecessors. Without that information, selecting among the options would be speculative and prone to misconception.

If you provide the diagram or the relation list (which elements cover A or which elements are directly below A), I can walk through exactly how many immediate predecessors A has and justify the chosen option step by step.

How many immediate predecessors does A have?

查看解析

登录即可查看完整答案

类似问题

GRAPH ADT Question 3: Directed graph below shows us that origin u : is PVD destination v is ORD

Assume we have a directed graph G; and the graph H is the same graph without the directions (if u is connected to v in G, then v is connected to u in H as well as u to v). Which of these statements are true?

For the following graph data structure select the correct statements

Which of the following are trails in the above graph? (check all that apply)

A graph that has no cycles is called acyclic

In a consumer society, many adults channel creativity into buying things

Economic stress and unpredictable times have resulted in a booming industry for self-help products

People born without creativity never can develop it

更多留学生实用工具

考试浏览器助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单