Results 51 to 60 of about 423,962 (267)
Let G be either a complete graph of odd order or a complete bipartite graph in which each vertex partition has an even number of vertices. In this paper, we determine the set of triples (p, q, r), with p, q, r > 0, for which there exists a decomposition ...
Shyu Tay-Woei
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Character degree graphs that are complete graphs [PDF]
Let \(G\) be a finite group and let \(\text{cd}(G)\) denote the different integers which occur as the degrees of the irreducible complex characters of \(G\). Let \(\Gamma(G)\) be the graph whose vertex set is \(\text{cd}(G)-\{1\}\). An edge joins two vertices represented by positive integers \(a\) and \(b\) if \(\gcd(a,b)>1\). The authors prove that if
M. Bianchi +3 more
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Design and analysis strategies for robust microbiome ageing research
The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik +5 more
wiley +1 more source
Modular irregularity strength of dense graphs
We solve the open problem posed in Modular irregularity strength of graphs, Electron. J. Graph Theory and Appl. 8 (2020), 435–433, asking about the modular irregularity strength of the complete graph Kn for all n ≥ 3.
I Nengah Suparta +3 more
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Golgi enzymes are retrieved from the plasma membrane to the trans‐Golgi network
Golgi enzymes are traditionally considered resident proteins retained within the Golgi apparatus. Here, we demonstrate that a subset transiently reaches the cell surface and is subsequently retrieved to the trans‐Golgi network via retrograde transport. Using a nanobody‐based toolkit, we uncover a dynamic trafficking cycle of several Golgi enzymes.
Dominik P. Buser, Tina Junne
wiley +1 more source
Computation of the eigenvalues of complete signed graphs
A signed graph Σ is the ordered pair (G,σ), where G=(V,E) is a finite simple graph, called the underlying graph, and σ: E(G) → {+1, -1} is a sign function or a signature of Σ. Let (K_n,σ) be a complete signed graph with n vertices. In this paper, we give
Shariefuddin Pirzada +3 more
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The ramsey number for theta graph versus a clique of order three and four
For any two graphs F1 and F2, the graph Ramsey number r(F1, F2) is the smallest positive integer N with the property that every graph on at least N vertices contains F1 or its complement contains F2 as a subgraph.
Bataineh M.S.A. +2 more
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Let \(G\) be a simple graph. The clique graph \(K(G)\) is the intersection graph of the maximal cliques of \(G\). A vertex in \(G\) is universal if it is adjacent to all other vertices in \(G\). The \(n\)th iterated clique graph of \(G\) is defined by \(K^{(n)}= K(K^{n-1} (G))\) and \(G\) is \(n\)-convergent if \(K^n (G)\) is isomorphic to the one ...
Cláudio Leonardo Lucchesi +2 more
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Obesity raises blood levels of PAI‐1, a protein linked to metabolic dysfunction‐associated steatotic liver disease in people with obesity. In female mice fed a high‐fat diet, partially lowering PAI‐1 led to smaller subcutaneous fat cells and lower liver cholesterol, without changing body weight or insulin sensitivity.
Claudia E. Ramirez Bustamante +10 more
wiley +1 more source
Teorema Pohon Matriks Untuk Menentukan Banyaknya Pohon Rentangan Graf Bipartisi Komplit (Km,n)
This research aims to observes panning tree number of complete bipartite graph (Km,n) by matrix-tree theorem.This research was using library research method which the step are:(1)Drawing complete bipartite graph (Km,n) where m= 1,2,3,4,and; (2)Determinin
Novia Rahmawati
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