Add to ORKGWe introduce the concept of dot product representations of graphs, giving some motivations as well as surveying the previously known results. We extend these representations to more general fields, looking at the complex numbers, rational numbers, and finite fields. Finally, we study the behavior of dot product representations in field extensions
Ordinary representation theory has been widely researched to the extent that there is a well-underst...
Summary. A graph is a data structure composed of dots (i.e. vertices) and lines (i.e. edges). The do...
Graph representation in computers has always been a hot topic thanks to the amount of applications t...
We introduce the concept of dot product representations of graphs, giving some motivations as well a...
We will introduce three new vector representations of graphs. These representations are based on rel...
AbstractLet k be a positive integer. We call a graph G = (V, E) a k-dot product graph if there is a ...
From a set of d-dimensional vectors for some integer d ≥ 1, we obtain a d-dot product graph by lett...
Let $d \geq 1$ be an integer. From a set of $d$-dimensional vectors, we obtain a $d$-dot product gra...
We will introduce a new tool to visualize the comparison between different birds. This tool will all...
A graph G on n vertices is a k-dot product graph if there are vectors u1,..., un ∈ Rk, one for each ...
In tropical algebras we substitute min or max for the typical addition and then substitute addition ...
A graph $G$ is a $k$-sphere graph if there are $k$-dimensional real vectors $v_1,\dots,v_n$ such tha...
Graphical representation of biological and social networks have become more prevalent as the study o...
We develop a new set of random graph models. The motivation for these mod- els comes from social ne...
A graph G(V,E) is a structure used to model pairwise relations between a set of objects. In this con...
Ordinary representation theory has been widely researched to the extent that there is a well-underst...
Summary. A graph is a data structure composed of dots (i.e. vertices) and lines (i.e. edges). The do...
Graph representation in computers has always been a hot topic thanks to the amount of applications t...
We introduce the concept of dot product representations of graphs, giving some motivations as well a...
We will introduce three new vector representations of graphs. These representations are based on rel...
AbstractLet k be a positive integer. We call a graph G = (V, E) a k-dot product graph if there is a ...
From a set of d-dimensional vectors for some integer d ≥ 1, we obtain a d-dot product graph by lett...
Let $d \geq 1$ be an integer. From a set of $d$-dimensional vectors, we obtain a $d$-dot product gra...
We will introduce a new tool to visualize the comparison between different birds. This tool will all...
A graph G on n vertices is a k-dot product graph if there are vectors u1,..., un ∈ Rk, one for each ...
In tropical algebras we substitute min or max for the typical addition and then substitute addition ...
A graph $G$ is a $k$-sphere graph if there are $k$-dimensional real vectors $v_1,\dots,v_n$ such tha...
Graphical representation of biological and social networks have become more prevalent as the study o...
We develop a new set of random graph models. The motivation for these mod- els comes from social ne...
A graph G(V,E) is a structure used to model pairwise relations between a set of objects. In this con...
Ordinary representation theory has been widely researched to the extent that there is a well-underst...
Summary. A graph is a data structure composed of dots (i.e. vertices) and lines (i.e. edges). The do...
Graph representation in computers has always been a hot topic thanks to the amount of applications t...