Wastewater-based epidemiology (WBE) has contributed significantly to the monitoring of drug use and transmission of viruses that has been published in numerous research papers. In this paper, we used LitStraw, a self-...
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Wastewater-based epidemiology (WBE) has contributed significantly to the monitoring of drug use and transmission of viruses that has been published in numerous research papers. In this paper, we used LitStraw, a self-developed text extraction tool, to extract, analyze, and construct knowledge graphs from nearly 900 related papers in PDF format collected in Web of Science from 2000 to 2021 to analyze the research hotspots and development trends of WBE. The results showed a growing number of WBE publications in multidisciplinary cross-collaboration, with more publications and close collaboration between the USA, Australia, China, and European countries. The keywords of illicit drugs and pharmaceuticals still maintain research hotness, but the specific research hotspots change significantly, among which the research hotspots of new psychoactive substances, biomarkers, and stability show an increasing trend. In addition, judging the spread of COVID-19 by the presence of SARS-CoV-2 RNA in sewage has become the focus since 2020. This work can show the development of WBE more clearly by constructing a knowledge graph and also provide new ideas for the paper mining analysis methods in different fields.
In view of the successful applications of graph theory, relationships between the biological activity and chemical structure have been developed. One of the popular topics in graph theory is problems relating to topol...
In view of the successful applications of graph theory, relationships between the biological activity and chemical structure have been developed. One of the popular topics in graph theory is problems relating to topological indices. Degree-based topological indices, distance-based topological indices, and counting-related topological indices are various types of topological indices. Physiochemical properties such as boiling point and stability of chemical compounds are correlated by these topological indices. A topological index of a graph is a numerical quantity obtained from the graph mathematically. A cactus graph is a connected graph in which no edge lies in more than one cycle. In this study, we have derived certain degree-based topological indices for some families of graphs consisting of graph obtained by the rooted product of paths and cycles and two types of cactus graph (paracactus and orthocactus) with the help of the generalized Zagreb index.
A graph is alpha-critical if its stability number increases whenever an edge is removed from its edge set. The class of alpha-critical graphs has several nice structural properties, most of them related to their defec...
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A graph is alpha-critical if its stability number increases whenever an edge is removed from its edge set. The class of alpha-critical graphs has several nice structural properties, most of them related to their defect which is the number of vertices minus two times the stability number. In particular, a remarkable result of Lovasz [L. Lovasz, Some finite basis theorems on graph theory, in: A. Hajnal, V.T. Sos (Eds.), Combinatorics (Proc. Fifth Hungarian Colloq., Keszthely, 1976), Vol. II, in: Colloquia Mathematica Societatis Janos Bolyai, vol. 18, North-Holland, Amsterdam, 1978, pp. 717-729] is the finite basis theorem for alpha-critical graphs of a fixed defect. The class of alpha-critical graphs is also of interest for at least two topics of polyhedral studies. First, Chvatal [V. Chvatal, On certain polytopes associated with graphs, journal of Combinatorial Theory Ser. B 18 (1975) 138-154] shows that each alpha-critical graph induces a rank inequality which is facet-defining for its stable set polytope. Investigating a weighted generalization, Liptak and Lovasz [L.. Liptak, L Lovasz, Facets with fixed defect of the stable set polytope, Mathematical Programming 88 (Set. A) (2000) 33-44;L. Liptak, L Lovasz, Critical facets of the stable set polytope, Combinatorica 21 (2001) 61-88] introduce critical facet-graphs (which again produce facet-defining inequalities for their stable set polytopes) and they establish a finite basis theorem. Second, Koppen [M. Koppen, Random utility representation of binary choice probabilities: Critical graphs yielding critical necessary conditions, journal of Mathematical Psychology 39 (1995) 21-39] describes a construction that delivers from any alpha-critical graph a facet-defining inequality for the linear ordering polytope. Doignon et al. [J.-P. Doignon, S. Fiorini, G. Joret, Facets of the linear ordering polytope: A unification for the fence family through weighted graphs, journal or Mathematical Psychology 50 (3) (2006) 251-262] ha
An equistable chordal graphs were discussed. It was shown that a chordal graph was equistable if and only if every two adjacent non-simplicial vertices have a common simplicial neighbor. The threshold graphs were also...
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An equistable chordal graphs were discussed. It was shown that a chordal graph was equistable if and only if every two adjacent non-simplicial vertices have a common simplicial neighbor. The threshold graphs were also discussed.
作者:
Favaron, OdileLRI
Bât. 490 Université de Paris-Sud 91405 Orsay Cedex France
It is known that the independence number of a connected claw-free graph G of order n is at most (n + 1)/2. We improve this result by showing that this bound still holds for the upper irredundance number IR(G). We char...
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An equistable series-parallel graphs were characterized. A graph was called equistable when there was a non-negative weight function in its vertices such that a set S of vertices has total weight 1 if and only if S wa...
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An equistable series-parallel graphs were characterized. A graph was called equistable when there was a non-negative weight function in its vertices such that a set S of vertices has total weight 1 if and only if S was maximal stable. The results of Mahadev et al. about equistable outer-planer graphs were also discussed.
We introduce some large classes of P5-free graphs for which the maximum stable set problem can be efficiently solved. The solution algorithms are based on the search of augmenting vertices. Then a method for extending...
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An induced matching M of a graph G is a set of pairwise nonadjacent edges such that no two edges of M are joined by an edge in G. The problem of finding a maximum induced matching is known to be NP-hard even for bipar...
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