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Domination-Related Parameters in Rooted Product Graphs [PDF]
A set $S$ of vertices of a graph $G$ is a dominating set in $G$ if every vertex outside of $S$ is adjacent to at least one vertex belonging to $S$. A domination parameter of $G$ is related to those sets of vertices of a graph satisfying some domination property together with other conditions on the vertices of $G$.
Kuziak, Dorota +2 more
openaire +2 more sources
Experimental and bond graph based sensitivity calculations for micro-scale robust engineering design [PDF]
Copyright @ 2005 IEEEBond graph modeling and sensitivity analysis are used to provide a platform for the robust design of a small mechatronic device, a behind-the-ear (BTE) hearing aid.
Wynn, HP +5 more
core +6 more sources
Strong metric dimension of rooted product graphs [PDF]
16 pages.
Dorota Kuziak +2 more
openaire +3 more sources
In mathematics, a graph product is a binary operation on a graph. Graph products have been extensively researched and have many important applications in many fields. Here we discuss one graph-theoretical product.
Süleyman Ediz +9 more
core +1 more source
Dilation theory for rank two graph algebras. [PDF]
An analysis is given of $*$-representations of rank 2 single vertex graphs. We develop dilation theory for the non-selfadjoint algebras $\A_\theta$ and $\A_u$ which are associated with the commutation relation permutation $\theta$ of a 2-graph and, more ...
Yang, Dilian +2 more
core +4 more sources
On the Additively Weighted Harary Index of Some Composite Graphs
The Harary index is defined as the sum of reciprocals of distances between all pairs of vertices of a connected graph. The additively weighted Harary index H A ( G ) is a modification of the Harary index in which the contributions of vertex ...
Behrooz Khosravi, Elnaz Ramezani
doaj +1 more source
The general position problem and strong resolving graphs
The general position number gp(G) of a connected graph G is the cardinality of a largest set S of vertices such that no three pairwise distinct vertices from S lie on a common geodesic.
Klavžar Sandi, Yero Ismael G.
doaj +1 more source
Antimagic Labeling for Product of Regular Graphs
An antimagic labeling of a graph G=(V,E) is a bijection from the set of edges of G to 1,2,⋯,E(G) and such that any two vertices of G have distinct vertex sums where the vertex sum of a vertex v in V(G) is nothing but the sum of all the incident ...
Vinothkumar Latchoumanane +1 more
core +1 more source
VERTEX-ECCENTRICITY DESCRIPTORS IN DENDRIMERS
In this paper, we present graph theoretical methods to compute several vertex-eccentricity-based molecular descriptors such as the eccentric connectivity index, total eccentricity, average eccentricity and first and second Zagreb eccentricity indices ...
Mahdieh AZARI +2 more
doaj +1 more source
Methods for Computing Genus Distribution Using Double-Rooted Graphs [PDF]
This thesis develops general methods for computing the genus distribution of various types of graph families, using the concept of double-rooted graphs, which are defined to be graphs with two vertices designated as roots (the methods developed in this ...
Khan, Imran Farid
core +1 more source

