JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2023, Vol. 58 ›› Issue (12): 127-133.doi: 10.6040/j.issn.1671-9352.0.2022.324

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Burning connectivity of oriented graphs

Longmiao XIA(),Zongtian WEI,Liping DING   

  1. Department of Mathematics, Xi'an University of Architecture and Technology, Xi'an 710055, Shaanxi, China
  • Received:2022-05-30 Online:2023-12-20 Published:2023-12-19

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Abstract:

The burning number of the graph is combined with the connectivity to propose the concept of burning connectivity of the oriented graphs. Based on the burning connectivity of some special oriented graphs (such as oriented graphs of trees, circles, wheel, etc.), and upper bounds of burning connectivity of cyclic oriented graphs, oriented graphs with a given diameter. An algorithm for computing the burning connectivity of the general oriented graphs is designed, and the complexity of the algorithm is analyzed.

Key words: oriented graph, network invulnerability, burning connectivity, algorithm of burning connectivity

CLC Number: 

  • O157.5

Fig.1

The circulant undirected graph C(8, ±{1, 2, 3}) and their oriented graphs $\vec{C}$ (8, ±{1, 2, 3})"

Fig.2

The algorithm flowchart"

Fig.3

An oriented graphs $\vec{G}$"

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