A Graph Construction Game is a Maker-Breaker game. Maker and Breaker take turns in choosing previously unoccupied edges of the complete graph KN . Maker’s aim is to claim a copy of a given target graph G while Breaker’s aim is to prevent Maker from doing so. In this paper we show that if G is a d-degenerate graph on n vertices and N > d2n, then Maker can claim a copy of G in at most d2n rounds....

Motion planning is an important and well-studied field of robotics. A typical approach to finding a route is to construct a cell graph representing a scene and then to find a path in such a graph. In this paper we present and analyze parallel algorithms for constructing the cell graph on a SIMDlike GPU processor. Additionally, we present a new implementation of the dictionary data type on a GPU...

In this article we introduce the cylindrical construction, as an edge-replacement procedure admitting twists on both ends of the hyperedges, generalizing the concepts of lifts and Pultr templates at the same time. We prove a tensor-hom duality for this construction and we show that not only a large number of well-known graph constructions are cylindrical but also the construction and its dual g...

A control flow graph (CFG) is used to model possible paths through a program, and is an essential part of many program analysis algorithms. While programs to construct CFGs can be written in metaprogramming languages such as Rascal, writing such programs is currently quite tedious. With the goal of streamlining this process, in this paper we present DCFlow, a domain-specific language and Rascal...

The study of geometrically defined graphs, and of the reverse question, the construction of geometric representations of graphs, leads to unexpected connections between geometry and graph theory. We survey the surprisingly large variety of graph properties related to geometric representations, construction methods for geometric representations, and their applications in proofs and algorithms.

We investigate a graph-based semi-supervised learning approach for labeling semantic components of questions such as topic, focus, event, etc., for question understanding task. We focus on graph construction to handle learning with dense/sparse graphs and present Relaxed Linear Neighborhoods method, in which each node is linearly constructed from varying sizes of its neighbors based on the dens...

Graph-based semi-supervised learning (SSL) methods usually consist of two stages: in the first stage, a graph is constructed from the set of input instances; and in the second stage, the available label information along with the constructed graph is used to assign labels to the unlabeled instances. Most of the previously proposed graph construction methods are unsupervised in nature, as they i...

How best to efficiently establish correspondence among a large set of images or video frames is an interesting unanswered question. For large databases, the high computational cost of performing pair-wise image matching is a major problem. However, for many applications, images are inherently sparsely connected, and so current techniques try to correctly estimate small potentially matching subs...