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A maximum cutting method and platform of halin graph based on visual operation

A cutting method, the largest technology, applied in the Halin graph maximum cutting method and platform field, can solve the problem that the maximum cutting problem has not been solved and so on

Active Publication Date: 2021-03-26
SUN YAT SEN UNIV
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  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

And the maximum cut problem of Halin graph is still not solved

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  • A maximum cutting method and platform of halin graph based on visual operation
  • A maximum cutting method and platform of halin graph based on visual operation
  • A maximum cutting method and platform of halin graph based on visual operation

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Embodiment Construction

[0053] The following will clearly and completely describe the technical solutions in the embodiments of the present invention with reference to the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of them. Based on the embodiments of the present invention, all other embodiments obtained by persons of ordinary skill in the art without creative efforts fall within the protection scope of the present invention.

[0054] It should be noted that if there is a directional indication (such as up, down, left, right, front, back...) in the embodiment of the present invention, the directional indication is only used to explain the direction in a certain posture ( As shown in the accompanying drawings), if the specific posture changes, the directional indication will also change accordingly.

[0055] In addition, if there are descriptions involving "first", "second", ...

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Abstract

The invention discloses a Halin graph maximum cutting method and platform based on visual operation. The platform is used for realizing the method, and the method generally comprises the following steps of: constructing a Halin graph, extracting a feature tree T and an adjoint circle C consisting of a node set V by utilizing a Halin graph judgment algorithm, and traversing the node set V in the feature tree T of the Halin graph G by utilizing width priority to obtain parity of a surface and a marked surface; Performing initial cutting on the feature treec a fan by using the nodes of the feature tree and the adjoint circle; and shrinking the fan into a wheel, carrying out wheel alignment processing to mark pairwise paired common edges, adjusting nodes of the common edges to the same node set, and adjusting the vertexes of the edges, on the adjoint ring, of the odd surfaces corresponding to the common edges to another node set to obtain maximum cuts (V1 and V2) of the Halin graph G. An efficient algorithm for maximum cutting on a Halin graph is obtained, the time complexity is O (6n), and n is the number of vertexes of the graph.

Description

technical field [0001] The invention relates to the technical field of relationship graph calculation and processing, in particular to a method and platform for maximum cutting of Halin graphs based on visualization operations. Background technique [0002] Graphs that use points and edges to represent the relationship between entities are widely used in knowledge bases, social networks, semantic networks, etc. Among them, the Halin graph has excellent connectivity: it has both 3-point connectivity and 3-edge The characteristics of connectivity, these connectivity can ensure the robustness of the network, so it is often used to build the network topology. The Halin diagram is a combination of feature trees and adjoint circles, which can ensure that the topology of the network is not too complicated. In many optimization combination problems, the solution under polynomial time can also be obtained through the graph, such as the classic TSP problem. The applications of Halin...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F16/901
Inventor 许莉娄定俊
Owner SUN YAT SEN UNIV
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