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Retrieving matchings between process models becomes a significant challenge in many applications. Recent attempts have been done to measure similarity of process models based on graph-edit distance. This problem is known to be difficult and computational complexity of exact algorithms for graph matching is exponential. Thus, heuristics must be proposed to… (More)

A critical challenge in designing ad hoc networks is resource discovery. In this paper, we propose a resource discovery scheme for large scale ad hoc networks, which uses a hypercubes-based backbone. Hypercubes are constructed in the different localities of the network by considering closely its physical topology constraints and the hypercube multi-paths… (More)

In this paper, we study a new coloring parameter of a graph called the Gap vertex-distinguishing edge coloring. It is a proper edge-coloring of a graph G which induces a vertex distinguishing labeling of G such that the label of each vertex is given by the difference between the highest and the lowest colors of its adjacent edges. The minimum number of… (More)

Let G be a graph on vertices v 1 , v 2 ,. .. , v n. The b-chromatic number of G is defined as the maximum number k of colors that can be used to color the vertices of G, such that we obtain a proper coloring and each color i, with 1 ≤ i ≤ k, has at least one representant x i adjacent to a vertex of every color j, 1 ≤ j = i ≤ k. In this paper, we give the… (More)

HAL is a multidisciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L'archive ouverte pluridisciplinaire HAL, est destinée au dépôt età la diffusion… (More)

A b-coloring of a graph is a proper coloring where each color admits at least one node (called dominating node) adjacent to every other used color. Such a coloring gives a partitioning of the graph in clusters for which every cluster has a clusterhead (the dominating node) adjacent to each other cluster. Such a decomposition is very interesting for large… (More)