We describe the structure of connected graphs with the minimum and maximum average distance, radius, diameter, betweenness centrality, efficiency and resistance distance, given their order and size. We find tight bounds on these graph qualities for any arbitrary number of nodes and edges and analytically derive the form and properties of such networks
We demonstrate how sophisticated graph properties, such as small distances and scale-free degree dis...
Research Doctorate - Doctor of Philosophy (PhD)The question of Turán on the maximum number of edges ...
Graph theory and its wide applications in natural sciences and social sciences open a new era of res...
We describe the structure of connected graphs with the minimum and maximum average distance, radius,...
Research Doctorate - Doctor of Philosophy (PhD)Interconnection networks form an important research a...
The problem of sending the maximum amount of flow q between two arbitrary nodes s and t of complex n...
AbstractLarge complex networks occur in many applications of computer science. The complex network z...
Motivated by complex networks analysis, we study algorithms that compute metric properties of real-...
The distance $d_{G}(i,j)$ between any two vertices $i$ and $j$ in a graph $G$ is the minimum number ...
During the last decade, significant efforts have been made toward improving our understanding of the...
This article focuses on the identification of the number of paths with different lengths between pai...
We analyze the betweenness centrality (BC) of nodes in large complex networks. In general, the BC is...
The eccentricity of a node v in a network is the maximum distance from v to any other node. In socia...
The eccentricity of a node v in a network is the maximum distance from v to any other node. In socia...
Betweenness measures provide quantitative tools to pick out fine details from the massive amount of ...
We demonstrate how sophisticated graph properties, such as small distances and scale-free degree dis...
Research Doctorate - Doctor of Philosophy (PhD)The question of Turán on the maximum number of edges ...
Graph theory and its wide applications in natural sciences and social sciences open a new era of res...
We describe the structure of connected graphs with the minimum and maximum average distance, radius,...
Research Doctorate - Doctor of Philosophy (PhD)Interconnection networks form an important research a...
The problem of sending the maximum amount of flow q between two arbitrary nodes s and t of complex n...
AbstractLarge complex networks occur in many applications of computer science. The complex network z...
Motivated by complex networks analysis, we study algorithms that compute metric properties of real-...
The distance $d_{G}(i,j)$ between any two vertices $i$ and $j$ in a graph $G$ is the minimum number ...
During the last decade, significant efforts have been made toward improving our understanding of the...
This article focuses on the identification of the number of paths with different lengths between pai...
We analyze the betweenness centrality (BC) of nodes in large complex networks. In general, the BC is...
The eccentricity of a node v in a network is the maximum distance from v to any other node. In socia...
The eccentricity of a node v in a network is the maximum distance from v to any other node. In socia...
Betweenness measures provide quantitative tools to pick out fine details from the massive amount of ...
We demonstrate how sophisticated graph properties, such as small distances and scale-free degree dis...
Research Doctorate - Doctor of Philosophy (PhD)The question of Turán on the maximum number of edges ...
Graph theory and its wide applications in natural sciences and social sciences open a new era of res...