A parity walk in an edge-coloring of a graph is a walk along which each color is used an even number of times. Let p(G) be the least number of colors in an edge-coloring of G havi...
David P. Bunde, Kevin Milans, Douglas B. West, Heh...
In this paper, we use the concept of edge-colored graphs to model homogeneous faults in networks. We then use this model to study the minimum connectivity (and design) requirement...
A graph G = (V, E) is called (k, k )-total weight choosable if the following holds: For any total list assignment L which assigns to each vertex x a set L(x) of k real numbers, an...
— 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...
In this paper, we address the problem of consistency checking for Euclidean spatial constraints. A dimension graph representation is proposed to maintain the Euclidean spatial con...