<b>Q</b>-integral unicyclic, bicyclic and tricyclic graphs

Zhang, Jing; Huang, Qiongxiang; Song, Caixia; Huang, Xueyi

doi:10.1002/mana.201500313

Cited by 6 publications

(4 citation statements)

References 30 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Residual oil stains, asphaltic sandstones, and organic-rich mudstones have been found in exposures in Hanoi and Dong Ho, Vietnam, as well as on islands in the Beibu Gulf . Oil seeps occur on and off the shore of Vietnam, as well as off the southwestern coast of Hainan Island . The Beibuwan Basin, a Cenozoic sedimentary basin covered by the Beibu Gulf and the LP, is rich in oil and gas reservoirs .…”

Section: Resultsmentioning

confidence: 95%

Composition and Distribution of Aliphatic Hydrocarbon Compounds and Biomarkers in Seafloor Sediments from Offshore of the Leizhou Peninsula (South China)

et al. 2021

View full text Add to dashboard Cite

The offshore of Leizhou Peninsula (LP, China), which contains unique ecosystems such as mangroves, seagrass beds, and coral reefs, is an environmentally sensitive area. For this reason, the levels of aliphatic hydrocarbon including biomarkers (hopanes, steranes) in the offshore seafloor sediments were analyzed in terms of their composition, distribution, and input sources and aimed to evaluate the extent of possible petroleum hydrocarbon contamination in the sediments of coastal areas. The total aliphatic hydrocarbons (TAH) fraction, the content of total n -alkanes ( n C 14 – n C 37 ) (∑ n -alkanes), and content of hopane + sterane are in the range of 13.76–99.53, 1.22–8.33, and 0.02–0.23 μg/g dw, respectively. The presence of unresolved complex mixture (UCM) hydrocarbons hump and petrogenic steranes and hopanes in these seafloor sediments suggest that petrogenic sourced hydrocarbon inputs were present. The stations on the peninsula’s southwest side had the lowest values of UCM/resolved aliphatic compounds (UCM/R) and UCM/ n -alkanes. These findings suggest that seafloor sediments from the southwest offshore of the peninsula were likely contaminated by recently inputted petroleum hydrocarbons. The presence of relatively high ∑ n -alkanes content in seafloor sediments from southwest offshore of the LP, combined with relatively low natural n -alkane ratios (NARs), indicates an increased influence of petrogenic hydrocarbons. The elevated levels of recent petrogenic hydrocarbon contamination in the sediments from the LP’s southwestern offshore were likely related to petroleum exploitation in the Beibu Gulf’s Maichen and Wushi sags.

show abstract

Section: Resultsmentioning

confidence: 95%

Composition and Distribution of Aliphatic Hydrocarbon Compounds and Biomarkers in Seafloor Sediments from Offshore of the Leizhou Peninsula (South China)

et al. 2021

View full text Add to dashboard Cite

show abstract

“…c k (x) due to √ 3 ∈ S pec(T k ) and so |s P | ≥ 2 by Lemma 4.6(iii). Furthermore, from (9) we see that P 5 ∈ s P because s P contains P 11 at most one times, and so n 5 ≥ 1. Thus {x, x 2 − 1, x 2 − 3} ⊆ S k and so ∂(c S k (x)) ≥ 5.…”

Section: Lemma 46 Under the Above Assumptions For F Tmentioning

confidence: 94%

“…Denote by m(x) = [ f P 1 (x), f P 2 (x), f P 3 (x), f P 4 (x), f P 5 (x)] the least common multiple of f P 1 (x), ..., f P 5 (x), from (9) we see that m(x) is just a product of basis factors, i.e.,…”

Section: Proof (I) Immediately Follows From the Forms (I) And (Ii) Of...mentioning

confidence: 99%

“…Integral graphs are very rare and difficult to find, this reduces researchers to investigate integral graphs within restricted classes of graphs, such as starlike trees, balanced trees, some special classes of trees, trees with arbitrarily large diameters, graphs with few cycles and some Cayley graphs [2][3][4][5][6][7][8]. Also integral graphs are extended to various spectra such as Laplacian spectrum, Signless Laplacian spectrum [9,10]. One can refer to [3] for the summary of the researches of integral graphs.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Quadratic starlike trees

Huang²

2021

Preprint

Self Cite

View full text Add to dashboard Cite

In this paper, we introduce the notion of the quadratic graph, that is a graph whose eigenvalues are integral or quadratic algebraic integral, and determine nine infinite families of quadratic starlike trees, which are just all the quadratic starlike trees including integral starlike trees. Thus the quadratic starlike trees are completely characterized, and moreover, the display expressions for the characteristic polynomials of the quadratic starlike trees are also given.

show abstract

On Q-integral graphs with edge-degrees at most six

Park

Sano

2019

Linear Algebra and its Applications

View full text Add to dashboard Cite

Q-integral unicyclic, bicyclic and tricyclic graphs

Cited by 6 publications

References 30 publications

Composition and Distribution of Aliphatic Hydrocarbon Compounds and Biomarkers in Seafloor Sediments from Offshore of the Leizhou Peninsula (South China)

Composition and Distribution of Aliphatic Hydrocarbon Compounds and Biomarkers in Seafloor Sediments from Offshore of the Leizhou Peninsula (South China)

Quadratic starlike trees

On Q-integral graphs with edge-degrees at most six

Contact Info

Product

Resources

About