Graph layering by promotion of nodes

dynamic coloring of graph

در این پایان نامه رنگ آمیزی دینامیکی یک گراف را بیان و مطالعه می کنیم. یک –kرنگ آمیزی سره ی رأسی گراف g را رنگ آمیزی دینامیکی می نامند اگر در همسایه های هر رأس v?v(g) با درجه ی حداقل 2، حداقل 2 رنگ متفاوت ظاهر شوند. کوچکترین عدد صحیح k، به طوری که g دارای –kرنگ آمیزی دینامیکی باشد را عدد رنگی دینامیکی g می نامند و آنرا با نماد ?_2 (g) نمایش می دهند. مونت گمری حدس زده است که تمام گراف های منتظم ...

Flexible Layering in Hierarchical Drawings with Nodes of Arbitrary Size

Graph drawing is an important area of information visualization which concerns itself with the visualization of relational data structures. Relational data like networks, hierarchies, or database schemas can be modelled by graphs and represented visually using graph drawing algorithms. Most existing graph drawing algorithms do not consider the size of nodes when creating a drawing. In most real...

Measuring similarity of graph nodes by neighbor matching

The problem of measuring similarity of graph nodes is important in a range of practical problems. There is a number of proposed measures, usually based on iterative calculation of similarity and the principle that two nodes are as similar as their neighbors are. In our work, we propose one novel method of that sort, with a refined concept of similarity of nodes that involves matching their neig...

A Generalization of the Directed Graph Layering Problem

The Directed Layering Problem (DLP) solves a step of the widely used layer-based approach to automatically draw directed acyclic graphs. To cater for cyclic graphs, usually a preprocessing step is used that solves the Feedback Arc Set Problem (FASP) to make the graph acyclic before a layering is determined. Here we present the Generalized Layering Problem (GLP), which solves the combination of ...

An Optimal Solution to Dimension-Constrained Graph Layering