标记双块图的枚举

IF 0.58 Q3 Engineering Journal of Applied and Industrial Mathematics Pub Date : 2024-02-16 DOI:10.1134/S1990478923040178

V. A. Voblyi

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引用次数: 0

摘要

摘要双块图是一种连通图，其中所有块都是完整的双块图。有标注的双块图和无桥双块图是按顶点数精确地、渐近地枚举出来的。研究证明，几乎所有有标签的连通双块图都没有桥。此外，还枚举了平面双块图，并找到了此类图数量的渐近估计值。

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Enumeration of Labeled Bi-Block Graphs

A bi-block graph is a connected graph in which all blocks are complete bipartite graphs. Labeled bi-block graphs and bridgeless bi-block graphs are enumerated exactly and asymptotically by the number of vertices. It is proved that almost all labeled connected bi-block graphs have no bridges. In addition, planar bi-block graphs are enumerated, and an asymptotic estimate is found for the number of such graphs.

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来源期刊

Journal of Applied and Industrial Mathematics Engineering-Industrial and Manufacturing Engineering

CiteScore

1.00

自引率

0.00%

发文量

期刊介绍： Journal of Applied and Industrial Mathematics is a journal that publishes original and review articles containing theoretical results and those of interest for applications in various branches of industry. The journal topics include the qualitative theory of differential equations in application to mechanics, physics, chemistry, biology, technical and natural processes; mathematical modeling in mechanics, physics, engineering, chemistry, biology, ecology, medicine, etc.; control theory; discrete optimization; discrete structures and extremum problems; combinatorics; control and reliability of discrete circuits; mathematical programming; mathematical models and methods for making optimal decisions; models of theory of scheduling, location and replacement of equipment; modeling the control processes; development and analysis of algorithms; synthesis and complexity of control systems; automata theory; graph theory; game theory and its applications; coding theory; scheduling theory; and theory of circuits.