Results 21 to 30 of about 3,238 (232)

Bounds on the weighted vertex PI index of cacti graphs

open access: yesFilomat, 2019
The weighted vertex PI index of a graph G is defined by PIw(G)=?e=uv?E(G) (dG(u)+dG(v))(nu(e|G) + nv(e|G)) where dG(u) denotes the vertex degree of u and nu(e|G) denotes the number of vertices in G whose distance to the vertex u is smaller than the distance to the vertex v.
Ma, Gang, Bian, Qiuju, Wang, Jianfeng
openaire   +3 more sources

The weighted vertex PI index

open access: yes, 2011
The vertex PI index is a distance--based molecular structure descriptor, that recently found numerous chemical applications. In order to increase diversity of this topological index for bipartite graphs, we introduce weighted version defined as $PI_w (G) = \sum_{e = uv \in E} (deg (u) + deg (v)) (n_u (e) + n_v (e))$, where $deg (u)$ denotes the vertex ...
c, Aleksandar Ili\'   +1 more
openaire   +2 more sources

Consistent off-shell $pi N N$ vertex and nucleon self-energy [PDF]

open access: yes, 1998
Published in: Phys. Rev. C 59 (1999) 1070-1080 Citing articles (CrossRef) citations recorded in [Science Citation Index] Abstract: We present a consistent calculation of half-off-shell form factors in the pion-nucleon vertex and the nucleon self-energy.
Kondratyuk, S.,   +3 more
core   +1 more source

Sharp Bounds on the Generalized Multiplicative First Zagreb Index of Graphs with Application to QSPR Modeling

open access: yes, 2023
Degree sequence measurements on graphs have attracted a lot of research interest in recent decades. Multiplying the degrees of adjacent vertices in graph Ω provides the multiplicative first Zagreb index of a graph.
Sakander Hayat, Farwa Asmat
core   +1 more source

The planar cell polarity protein Vangl2 interacts with the PDZ‐domains of Scribble but not with a unique PDZ‐like domain in Inturned

open access: yesFEBS Letters, EarlyView.
Structural and biochemical characterisations show that the planar cell polarity (PCP) protein Inturned harbours a unique PDZ‐like domain that does not bind canonical PDZ‐binding motifs (PBMs) like that of another PCP protein Vangl2. In contrast, the apical‐basal polarity protein Scribble contains four PDZ domains that bind Vangl2, but one PDZ domain ...
Stephan Wilmes   +4 more
wiley   +1 more source

Weighted Vertex PI Index and Polynomial of Some Planar Graphs

open access: yes, 2023
{"references": ["Ili\u0107, A., & Milosavljevi\u0107, N. (2013). The weighted vertex PI index. Mathematical and Computer Modelling, 57(3-4), 623-631.", "Ma, G., Bian, Q., & Wang, J. (2019). The weighted vertex PI index of (n, m)-graphs with given diameter. Applied Mathematics and Computation, 354, 329-337.", "Salahshour, M. A. (2011).
openaire   +2 more sources

Septin 9 PB domains coordinate centrosome positioning and microtubule acetylation to control epithelial polarity

open access: yesFEBS Letters, EarlyView.
Septin 9 polybasic domains couple phosphoinositide‐rich membrane binding to centrosome positioning, Golgi organization, and microtubule acetylation to control epithelial polarity. Their loss disrupts this axis, causing centrosome mispositioning, Golgi fragmentation, reduced microtubule acetylation, and polarity inversion via upregulation of the ...
Ting ting Cai   +4 more
wiley   +1 more source

Modelling stem cell differentiation related processes—A practical overview for biologists

open access: yesFEBS Letters, EarlyView.
Stem cell differentiation is complex and difficult to control experimentally. This review introduces suitable computational modelling approaches that can support stem cell research, from mechanistic ODE and abstract models to multiscale and deep learning methods.
Ricco Zeegelaar   +4 more
wiley   +1 more source

Vertex and edge Co-PI indices of bridge graphs

open access: yes, 2016
The Co-PI index of a graph G is denoted by Co-PI(G) and  is defined as Co-PI(G  is the number of vertices of G whose distance to the vertex u is less than the distance to the vertex v in G.
Sharmila Devi, V. Kaladevi
core   +1 more source

Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading

open access: yesAdvanced Engineering Materials, EarlyView.
The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
wiley   +1 more source

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