Number of Spanning Trees in the Sequence of Some Graphs

Liu, Jia‐Bao; Daoud, S. N.

doi:10.1155/2019/4271783

Cited by 20 publications

(18 citation statements)

References 21 publications

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“…e MSV model has been proved efficient and accurate in many situations [23]. e NP problem of multivariate stochastic volatility model can be solved by the Markov Monte Carlo method [24,25]. Many SV models have been established to solve different problems, such as nonlinear [26], mean [27], leverage [28], T-distribution [29], and two-factor [30].…”

Section: Introductionmentioning

confidence: 99%

Dynamic Cross‐Market Volatility Spillover Based on MSV Model: Evidence from Bitcoin, Gold, Crude Oil, and Stock Markets

Zhang

2021

Complexity

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This paper examines the spillover effect between bitcoin, gold, crude oil, and major stock markets by using the MSV model with dynamic correlation and Granger causality. The empirical results of the DC-GC-MSV model are logically correct and convergent. The DIC test result has proved that the DC-GC-MSV model is better and more accurate. Bitcoin has no significant Granger causality spillover effect than other assets. As a safe haven product for stock assets, gold price has one-way spillover effect from stock market volatility. Moreover, crude oil has the highest correlation with the stock market. In the recent COVID-19 epidemic and the sluggish economic environment, investors need to consider a balanced asset allocation among low-correlation assets, medium-correlation assets, and high-correlation assets to reduce risks.

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Section: Introductionmentioning

confidence: 99%

Dynamic Cross‐Market Volatility Spillover Based on MSV Model: Evidence from Bitcoin, Gold, Crude Oil, and Stock Markets

Zhang

2021

Complexity

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“…e measurement methods of international organizations are very standard. e content of the study is nothing more than the basis, application, and influence of digital economy [19,20]. China's index has its own characteristics, reflecting the differences of concerns and ideas of different institutions and roles on digital economy.…”

Section: Related Workmentioning

confidence: 99%

Research and Analysis on the Index System of Digital Economy in Anhui Province

Zhong

Shi

2021

Complexity

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The development of the digital economy is of special significance to the realization of the stable development of the macroeconomy. Based on the White Paper on Development of China’s Digital Economy and the actual situation of cities in Anhui Province, this study divides the index system of digital economy into three primary indexes, namely, digital industrialization, industrial digitization, and information infrastructure, and 20 secondary indexes. The percentage weight of each index is determined by the subjective evaluation method, and the index values of 16 cities in Anhui Province are calculated according to the efficacy coefficient method. Then, the mean value, standard deviation, variance, kurtosis, skewness, and other information of each index system are statistically analyzed, and the policy suggestions for the development of digital economy are given. This study fills the blank of the index system of digital economy in Anhui Province and has a certain role in promoting the development of digital economy in Anhui Province.

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“…In [12], the authors have shown that the generalized Peterson network P(n, 3) has a bounded metric dimension. Liu et al discussed many aspects of graph theory such as indices, metric dimension domination number, and so on in [13][14][15][16][17][18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Classification of Upper Bound Sequences of Local Fractional Metric Dimension of Rotationally Symmetric Hexagonal Planar Networks

Ali

Mahmood

Tchier

et al. 2021

Journal of Mathematics

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The term metric or distance of a graph plays a vital role in the study to check the structural properties of the networks such as complexity, modularity, centrality, accessibility, connectivity, robustness, clustering, and vulnerability. In particular, various metrics or distance-based dimensions of different kinds of networks are used to resolve the problems in different strata such as in security to find a suitable place for fixing sensors for security purposes. In the field of computer science, metric dimensions are most useful in aspects such as image processing, navigation, pattern recognition, and integer programming problem. Also, metric dimensions play a vital role in the field of chemical engineering, for example, the problem of drug discovery and the formation of different chemical compounds are resolved by means of some suitable metric dimension algorithm. In this paper, we take rotationally symmetric and hexagonal planar networks with all possible faces. We find the sequences of the local fractional metric dimensions of proposed rotationally symmetric and planar networks. Also, we discuss the boundedness of sequences of local fractional metric dimensions. Moreover, we summarize the sequences of local fractional metric dimension by means of their graphs.

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Number of Spanning Trees in the Sequence of Some Graphs

Cited by 20 publications

References 21 publications

Dynamic Cross‐Market Volatility Spillover Based on MSV Model: Evidence from Bitcoin, Gold, Crude Oil, and Stock Markets

Dynamic Cross‐Market Volatility Spillover Based on MSV Model: Evidence from Bitcoin, Gold, Crude Oil, and Stock Markets

Research and Analysis on the Index System of Digital Economy in Anhui Province

Classification of Upper Bound Sequences of Local Fractional Metric Dimension of Rotationally Symmetric Hexagonal Planar Networks

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