The Tower of Hanoi problem is generalized by placing pegs on the vertices of a given directed graph G with two distinguished vertices, S and D, and allowing moves only along arcs o...
Given a sequence of non-negative real numbers 0 1 ::: which sum to 1, we consider a random graph having approximately in vertices of degree i. In 12] the authors essentially show ...
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...