Results 51 to 60 of about 39,296 (257)
Unicyclic Graphs with the Fourth Extremal Wiener Indices
A graph is called unicyclic if the graph contains exactly one cycle. Unicyclic graphs with the fourth extremal Wiener indices are characterized. It is shown that, among all unicyclic graphs with n≥8 vertices, C5Sn−4 and C2u1,u2S3,Sn−4 attain the fourth ...
Guangfu Wang +3 more
doaj +1 more source
Some Bond Incident Degree Indices of (Molecular) Graphs with Fixed Order and Number of Cut Vertices
A bond incident degree (BID) index of a graph G is defined as ∑uv∈EGfdGu,dGv, where dGw denotes the degree of a vertex w of G, EG is the edge set of G, and f is a real-valued symmetric function. The choice fdGu,dGv=adGu+adGv in the aforementioned formula
Abeer M. Albalahi +3 more
doaj +1 more source
Objective In complex diseases, it is challenging to assess a patient's disease state, trajectory, treatment exposures, and risk of multiple outcomes simultaneously, efficiently, and at the point of care. Methods We developed an interactive patient‐level data visualization and analysis tool (VAT) that automates illustration of the trajectory of a ...
Ji Soo Kim +18 more
wiley +1 more source
Zeroth-order general Randić index of cactus graphs
A connected graph G is said to be cactus if no two cycles of G have any common edge. The present note is devoted to developing some extremal results for the zeroth-order general Randić index of cactus graphs and finding some sharp bounds on this index ...
Hassan Ahmed +2 more
doaj +2 more sources
The extremal number or simply denotes the maximal number of edges in a graph on vertices with forbidden subgraphs and . The exact number of is only known for up to and . There are upper and lower bounds of for other values of .
Novi H. Bong
doaj +1 more source
Objective This study aimed to determine if program format (in‐person, virtual, or hybrid) results in differences in 3‐month outcomes of pain, function, quality of life, self‐efficacy, and chair stands in a hip/knee osteoarthritis‐management program. Methods A secondary analysis of the Good Life with osteoArthritis in Denmark (GLA:D) Canada database was
Jill Van Damme +7 more
wiley +1 more source
Extremal Results in Random Graphs [PDF]
According to Paul Erd s [Some notes on Tur n's mathematical work, J. Approx. Theory 29 (1980), page 4] it was Paul Tur n who "created the area of extremal problems in graph theory". However, without a doubt, Paul Erd s popularized extremal combinatorics, by his many contributions to the field, his numerous questions and conjectures, and his ...
Rödl, Vojtěch, Schacht, Mathias
openaire +2 more sources
Objective Knee osteoarthritis (OA) commonly affects individuals with Type 2 diabetes (T2DM) and is associated with increased risk of diabetes‐related complications. To better understand potential mechanisms, we examined the association between symptomatic knee OA and glycemic control in individuals with T2DM.
Lauren K. King +10 more
wiley +1 more source
Moving to Extremal Graph Parameters [PDF]
Which graphs, in the class of all graphs with given numbers n and m of edges and vertices respectively, minimizes or maximizes the value of some graph parameter? In this paper we develop a technique which provides answers for several different parameters:
Cameron, P. J. +2 more
core
ErB4 and NdB4 nanostructured powders are produced by mechanochemical synthesis. 5 h mechanical alloying and 4 M HCl acid leaching are used in the production. ErB4 and NdB4 powders exhibit maximum magnetization of 0.4726 emu g−1 accompanied with an antiferromagnetic‐to‐paramagnetic phase transition at about TN = 18 K and 0.132 emu g−1 with a maximum at ...
Burçak Boztemur +5 more
wiley +1 more source

