Results 81 to 90 of about 617,805 (269)
RNA‐centric world of retroviruses: unravelling the molecular strategies of genomic RNA packaging
Biological Reviews, EarlyView.ABSTRACT Retroviruses constitute a unique group of RNA viruses that have profoundly influenced both evolutionary trajectories and biomedical research. Their ability to reverse transcribe and integrate into host genomes has shaped genomic architecture across species and contributed to our understanding of oncogenes, gene regulation, and RNA biology ...
Mohammad Abdullah Jehad +5 more
wiley +1 more source
Sidorenko's conjecture for blow-ups
Discrete Analysis, 2021 Sidorenko's conjecture for blow-ups, Discrete Analysis 2021:2, 13 pp. Let $G$ be a bipartite graph with finite vertex sets $X$ and $Y$. If $G$ has density $\alpha$, then the average degree of the vertices in $X$ is $\alpha|Y|$, so the mean-square degree
David Conlon, Joonkyung Lee
doaj +1 more source
Discrete Mathematics, 1997 Consider two bipartite graphs \(G=\{L,R,E\}\) and \(G'=\{L',R',E'\}\). A bijection \(f:L\cup R\to L'\cup R'\) such that \(f(L)=L'\) and \(f(u)f(v)\not\in E'\) for every edge \(uv\in E\) is called a bi-placement of \(G\) and \(G'\). The graphs \(G\) and \(G'\) are called bi-placeable if there exists a bi-placement of \(G\) and \(G'\).
A. Pawel Wojda, Paul Vaderlind
openaire +1 more source
Business Strategy and the Environment, EarlyView.ABSTRACT This study systematizes the literature on eco‐innovation and economic complexity, aiming to understand how the sophistication of productive structures shapes countries' capacity to develop environmentally responsible innovations, and how eco‐innovation may, in turn, influence productive sophistication.
Gregory Matheus Pereira de Moraes +1 more
wiley +1 more source
Some Properties of Regular Line Graphs
مجلة علوم ذي قار, 2019 In this paper, the concept of regular line graph has been introduced. The maximum number of vertices with different degrees in the regular line graphs has also been studied.
Akram Attar
doaj +4 more sources
Using random walks to generate associations between objects.
PLoS ONE, 2014 Measuring similarities between objects based on their attributes has been an important problem in many disciplines. Object-attribute associations can be depicted as links on a bipartite graph.
Muhammed A Yildirim, Michele Coscia
doaj +1 more source
Adaptive Bipartite Consensus of Second-Order Multi-Agent Systems With Bounded Disturbances
IEEE Access, 2020 This paper investigates distributed adaptive bipartite consensus for second-order multi-agent systems (MASs) with bounded disturbances under a signed graph. Based on adaptive variable structure control strategies, an adaptive bipartite consensus protocol
Haichuan Xu +3 more
doaj +1 more source
On Odd Covers of Cliques and Disjoint Unions
Journal of Graph Theory, EarlyView.ABSTRACT Babai and Frankl posed the “odd cover problem” of finding the minimum cardinality of a collection of complete bipartite graphs such that every edge of the complete graph of order n $n$ is covered an odd number of times. In a previous paper with O'Neill, some of the authors proved that this value is always ⌈ n / 2 ⌉ $\lceil n/2\rceil $ or ⌈ n /
Calum Buchanan +7 more
wiley +1 more source
Explicit 3‐colorings for Exponential Graphs
Journal of Graph Theory, EarlyView.ABSTRACT In 1985, El‐Zahar and Sauer showed that the chromatic number of the direct product of two 4‐chromatic graphs is 4, establishing a nontrivial case of Hedetniemi's conjecture, which has since been refuted in general. Their proof uses the concept of an exponential graph, showing that if a graph H $H$ has no proper 3‐coloring, then the exponential
Adrien Argento +2 more
wiley +1 more source