Results 11 to 20 of about 6,957 (218)

Metric Dimensions of Bicyclic Graphs

Mathematics, 2023
The distance d(va,vb) between two vertices of a simple connected graph G is the length of the shortest path between va and vb. Vertices va,vb of G are considered to be resolved by a vertex v if d(va,v)≠d(vb,v).
Asad Khan, Ghulam Haidar, Naeem Abbas, Murad Ul Islam Khan, Azmat Ullah Khan Niazi, Asad Ul Islam Khan   +5 more
doaj   +2 more sources

Maximum Estrada Index of Bicyclic Graphs

Discrete Applied Mathematics, 2012
Let $G$ be a simple graph of order $n$, let $\lambda_1(G),\lambda_2(G),...,\lambda_n(G)$ be the eigenvalues of the adjacency matrix of $G$. The Esrada index of $G$ is defined as $EE(G)=\sum_{i=1}^{n}e^{\lambda_i(G)}$.
Cvetkovíc, de la Peña, Deng, Du, Du, Du, Du, Estrada, Estrada, Estrada, Estrada, Estrada, Estrada, Ilíc, Li, Long Wang, Yi Wang, Yi-Zheng Fan, Zhang, Zhou, Zhou   +20 more
core   +3 more sources

The Maximal Total Irregularity of Bicyclic Graphs [PDF]

Journal of Applied Mathematics, 2014
In 2012, Abdo and Dimitrov defined the total irregularity of a graph G=(V,E) as irrtG=1/2∑u,v∈VdGu-dGv, where dGu denotes the vertex degree of a vertex u∈V.
Lihua You, Jieshan Yang, Yingxue Zhu, Zhifu You   +3 more
doaj   +3 more sources

Maximal elliptic Sombor index of bicyclic graphs [PDF]

Contributions to Mathematics
Fuxian Qi, Zhen Lin
doaj   +3 more sources

End-regularity of generalized bicycle graph [PDF]

AKCE International Journal of Graphs and Combinatorics, 2020
A graph G is called End-regular, if every endomorphism of G is regular as a monoid. In this article, we investigate End-regularity of bicycle graphs. Moreover, a generalization of bicycle graph is defined and gives a characterization of End-regular generalized bicycle graphs.
Asieh Ghorbanian Rajabi, Ahmad Erfanian, Ali Azimi   +2 more
openalex   +3 more sources

The inertia of unicyclic graphs and bicyclic graphs

Discussiones Mathematicae - General Algebra and Applications, 2013
Let G be a graph with n vertices and (G) be the matching number of G. The inertia of a graph G, In(G) = (n+;n ;n0) is an integer triple specifying the numbers of positive, negative and zero eigenvalues of the adjacency matrix A(G), respectively. Let (G) = n0 denote the nullity of G (the multiplicity of the eigenvalue zero of G).
Ying Liu
openalex   +2 more sources

ARITHMETICAL RANK OF THE CYCLIC AND BICYCLIC GRAPHS [PDF]

Journal of Algebra and Its Applications, 2011
We show that for the edge ideals of the graphs consisting of one cycle or two cycles of any length connected through a vertex, the arithmetical rank equals the projective dimension of the corresponding quotient ring.
Margherita Barile, Dariush Kiani, Fatemeh Mohammadi, Siamak Yassemi   +3 more
openalex   +6 more sources

Bicyclic graphs with extremal degree resistance distance [PDF]

, 2016
Let $r(u,v)$ be the resistance distance between two vertices $u, v$ of a simple graph $G$, which is the effective resistance between the vertices in the corresponding electrical network constructed from $G$ by replacing each edge of $G$ with a unit resistor. The degree resistance distance of a simple graph $G$ is defined as ${D_R}(G) = \sum\limits_{\{u,
Jia Liu, Si-Qi Zhangb, Xiang-Feng Pan, Shaohui Wang, Sakander Hayat   +4 more
openalex   +3 more sources

CONSTRUCTION OF BICYCLIC GRAPH AND ITS APPLICATION IN TRANS JOGJA ROUTES

Barekeng, 2023
A bicyclic graph is a type of graph that consists of exactly two cycles. A cycle is a graph that is a closed path where no vertices are repeated except the first and last vertices which are the same.
Aditya Ambarwati, Vira Hari Krisnawati
doaj   +1 more source

Optimization of 4-Amino-2-Pyridone Inhibitors of Proprotein Convertase Subtilisin/Kexin Type 9: Integrating Structure-Activity and Structure-Metabolism Relationships. [PDF]

ChemMedChem
Green chemistry‐based late‐stage functionalization (LSF) of the anti‐proprotein convertase subtilisin/kexin type 9 (PCSK9) early lead compound 5c led to optimized analogs with improved metabolic stability/PCSK9 IC50 ratio. Proprotein convertase subtilisin/kexin type 9 (PCSK9) is a key drug target for the treatment of different hypercholesterolemia ...
Giannessi L, Lupo MG, Ugolotti M, Papotti B, Mattina B, Martina MG, Demurtas A, Padula C, Nicoli S, Crescenzio M, Ferri N, Zimetti F, Radi M.   +12 more
europepmc   +2 more sources