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
International audienceIn this article we build a linear representation starting from a multigraph; t...
The book deals with questions which arise from storing a graph in a computer. Different classes of g...
This is an exposition on the representation theory of wreath products of finite groups, with many ex...
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 ...
Let $d \geq 1$ be an integer. From a set of $d$-dimensional vectors, we obtain a $d$-dot product gra...
A graph G on n vertices is a k-dot product graph if there are vectors u1,..., un ∈ Rk, one for each ...
We extend the concept of graph representations modulo integers introduced by Erdös and Evans to grap...
From a set of d-dimensional vectors for some integer d ≥ 1, we obtain a d-dot product graph by lett...
A graph is representable by a ring if its vertices can be labeled with distinct ring elements so the...
A graph $G$ is a $k$-sphere graph if there are $k$-dimensional real vectors $v_1,\dots,v_n$ such tha...
In tropical algebras we substitute min or max for the typical addition and then substitute addition ...
This article presents a machinery based on polyhedral products that produces faithful representation...
Graphical representation of biological and social networks have become more prevalent as the study o...
International audienceIn this article we build a linear representation starting from a multigraph; t...
The book deals with questions which arise from storing a graph in a computer. Different classes of g...
This is an exposition on the representation theory of wreath products of finite groups, with many ex...
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 ...
Let $d \geq 1$ be an integer. From a set of $d$-dimensional vectors, we obtain a $d$-dot product gra...
A graph G on n vertices is a k-dot product graph if there are vectors u1,..., un ∈ Rk, one for each ...
We extend the concept of graph representations modulo integers introduced by Erdös and Evans to grap...
From a set of d-dimensional vectors for some integer d ≥ 1, we obtain a d-dot product graph by lett...
A graph is representable by a ring if its vertices can be labeled with distinct ring elements so the...
A graph $G$ is a $k$-sphere graph if there are $k$-dimensional real vectors $v_1,\dots,v_n$ such tha...
In tropical algebras we substitute min or max for the typical addition and then substitute addition ...
This article presents a machinery based on polyhedral products that produces faithful representation...
Graphical representation of biological and social networks have become more prevalent as the study o...
International audienceIn this article we build a linear representation starting from a multigraph; t...
The book deals with questions which arise from storing a graph in a computer. Different classes of g...
This is an exposition on the representation theory of wreath products of finite groups, with many ex...