Results 21 to 30 of about 3,238 (232)
Bounds on the weighted vertex PI index of cacti graphs
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 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]
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
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
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
{"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 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
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
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
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

