There will be many concepts in learning data structure, such as sequential structure, nonlinear structure, sequential list, sequential structure, sequential list, linked list, stack, queue, heap, etc. Today, let’s talk about the relationship between the following linear table and linear structure, sequence table and sequence structure.
In data structures, linear lists and linear structures are two basic concepts, but they describe different things.
1. Linear table:
A linear table is a special data structure, and its data elements have context. That is, every element except the first and last has a predecessor and a successor.
There are two common implementations of linear lists: sequential lists and linked lists. Sequential lists use arrays (ie, sequential structures) to store data elements, while linked lists use nodes and pointers.
The basic operations of linear tables include insertion, deletion, search, etc.
2. Linear structure:
Linear structure is a broader concept that describes the logical relationship between data elements. In a linear structure, data elements are arranged linearly or sequentially. In addition to linear lists, others such as stacks and queues are also examples of linear structures.
Linear structures are contrasted with nonlinear structures such as trees and graphs.
The characteristic of the linear structure is that there is one and only one predecessor and one successor between data elements.
Relationship:
A linear table is a type of linear structure. In other words, a linear table is a specific application of a linear structure.
The linear structure describes the logical relationship between data elements, and the linear table describes a concrete realization of this relationship.
In short, a linear structure is a broad concept that describes the relationship between data elements, and a linear table is a concrete realization of this relationship.
In data structures, sequential lists and sequential structures are often mentioned, but they are two different concepts.
1. Sequential structure:
Sequential structure usually means that the physical storage structure of data is continuous. This means that data elements are stored contiguously in memory in their logical order.
The main advantage of this structure is that data elements can be directly accessed through the index quickly, but its main disadvantage is that insertion and deletion operations can be very time-consuming, because a large number of data elements may need to be moved.
A common example of a sequential structure is an array.
2. Sequence table:
Sequence table is a linear table data structure, and its data elements are stored in memory in the form of a sequential structure. Therefore, it can be said that the sequence table is based on the sequence structure.
The data elements of the sequential table can be of any type, but they are stored contiguously in physical memory.
Because the sequential table is based on a sequential structure, it can be implemented using an array.
Relational:
A sequential table is a linear table implemented using a sequential structure (ie, an array). In other words, the sequence structure is the basis for implementing sequence tables.
All sequence tables use sequence structures, but not all sequence structures are used to implement sequence tables. The sequential structure just means that the physical storage of data is continuous.
In short, sequential structure is a broader concept that describes how data is stored contiguously in memory. The sequential table is a specific application of this storage method, and it is an implementation of the linear table data structure.
Linear lists and sequential lists are basic concepts in data structures, and there is a close relationship between them.
1. Linear table:
A linear table is an abstract data structure, which consists of zero or more data elements, and there is a linear relationship between these elements. The characteristic of a linear table is that each data element has a predecessor and a successor (except that the first element has no predecessor and the last element has no successor).
Linear lists can be implemented in a variety of ways, such as sequential lists, linked lists, and so on.
2. Sequence table:
Sequence table is a specific implementation of linear table. Sequential tables use continuous storage space (such as arrays) to store the elements of the linear table.
The advantage of the sequence table is that the elements can be directly accessed through the index, which facilitates random access. But insertion and deletion operations may require moving other elements, resulting in less efficiency.
Relationship:
Linear table is a broader concept, and sequential table is a specific implementation of linear table. You can think of a linear table as an abstract interface or concept, while a sequential table is a concrete implementation of this interface.
All sequential tables are linear tables, but not all linear tables are sequential tables. For example, a linked list is also an implementation of a linear list, but it differs from a sequential list in implementation details.
In short, sequential tables are a subset of linear tables. A linear table defines a set of data elements and their logical relationship, while a sequential table provides a continuous storage implementation for this relationship.