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Domination related parameters in rooted product graphs
Domination location domination related parameters rooted product graphs
2012/4/18
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 se...
On the strong metric dimension of corona product graphs and join graphs
Strong metric dimension strong resolving sets strong metric basis clique number corona graph
2012/4/18
Let $G$ be a connected graph. A vertex $w$ strongly resolves a pair $u$, $v$ of vertices of $G$ if there exists some shortest $u-w$ path containing $v$ or some shortest $v-w$ path containing $u$. A se...
Computing global offensive alliances in Cartesian product graphs
Global offensive alliances domination Cartesian product graphs
2012/4/18
A global offensive alliance in a graph $G$ is a set $S$ of vertices with the property that every vertex not belonging to $S$ has at least one more neighbor in $S$ than it has outside of $S$. The globa...
Families of twisted tensor product codes
Segre Product Veronesean Grassmannian Desarguesian spread Subgeometry Twisted Product Constacyclic error correcting code
2011/8/26
Abstract: Using geometric properties of the variety $\cV_{r,t}$, the image under the Grassmannian map of a Desarguesian $(t-1)$-spread of $\PG(rt-1,q)$, we introduce error correcting codes related to ...
Defect of a Kronecker product of unitary matrices
unitary matrix kronecker product tensor product complex Hadamard
2010/12/9
The generalized defect D(U) of a unitary N ×N matrix U with no zero entries is the dimension of the real space of directions, moving into which from U we do not disturb the moduli |Ui,j | as well as t...