— We show that for every fixed k, there is a linear time algorithm that decides whether or not a given graph has a vertex set X of order at most k such that G − X is planar (w...
A visibility representation of a graph G is to represent the nodes of G with non-overlapping horizontal line segments such that the line segments representing any two distinct adja...
For d 1, s 0 a (d,d +s)-graph is a graph whose degrees all lie in the interval {d,d +1,...,d +s}. For r 1, a 0 an (r,r+1)-factor of a graph G is a spanning (r,r+a)-subgraph of...
—Morse decomposition provides a numerically stable topological representation of vector fields that is crucial for their rigorous interpretation. However, Morse decomposition is ...
Guoning Chen, Qingqing Deng, Andrzej Szymczak, Rob...
This paper studies the group testing problem in graphs as follows. Given a graph G = (V, E), determine the minimum number t(G) such that t(G) tests are sufficient to identify an u...