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31#
發(fā)表于 2025-3-26 23:20:15 | 只看該作者
Families of Graphs Having Broadcasting and Gossiping Properties,broadcasting (resp. gossiping), one node (resp. every node) has a piece of information and needs to transmit it to everyone else in the network. These communications patterns find their main applications in the field of interconnection networks for parallel architectures. In this paper, we are inter
32#
發(fā)表于 2025-3-27 05:06:24 | 只看該作者
33#
發(fā)表于 2025-3-27 05:34:47 | 只看該作者
A Generalization of AT-free Graphs and a Generic Algorithm for Solving Treewidth, Minimum Fill-In ardinality three is called . and graphs without an asteroidal triple are called .. The maximum cardinality of an asteroidal set of ., denoted by .(.), is said to be the . of .. We present a scheme for designing algorithms for triangulation problems on graphs. As a consequence, we obtain algorithms to
34#
發(fā)表于 2025-3-27 12:36:17 | 只看該作者
A Polynomial-Time Algorithm for Finding Total Colorings of Partial ,-Trees,eive the same color. Many combinatorial problems can be efficiently solved for partial .-trees (graphs of treewidth bounded by a constant .). However, no polynomial-time algorithm has been known for the problem of finding a total coloring of a given partial .-tree with the minimum number of colors.
35#
發(fā)表于 2025-3-27 15:01:58 | 只看該作者
Rankings of Directed Graphs, a vertex of larger color. We consider the directed variant of this problem, where the above condition is imposed only on those paths in which all edges are oriented in the same direction. We show that the ranking number of a directed tree is bounded by that of its longest directed path plus one, an
36#
發(fā)表于 2025-3-27 17:48:11 | 只看該作者
37#
發(fā)表于 2025-3-28 00:39:04 | 只看該作者
38#
發(fā)表于 2025-3-28 03:50:47 | 只看該作者
39#
發(fā)表于 2025-3-28 06:18:48 | 只看該作者
Compact Implicit Representation of Graphs,ly all vertices and all edges. The names (labels) assigned to vertices are used only to encode the edges and betray nothing about the structure of the graph itself and hence are a “waste” of space. In this context, we present a general framework for labeling . graph so that adjacency between any two
40#
發(fā)表于 2025-3-28 14:00:00 | 只看該作者
Graphs with Bounded Induced Distance,des is at most . times the distance between the same nodes. In communication networks modeled by these graphs any message can be always delivered through a path whose length is at most . times the best possible one, even if some nodes fail..In this work we first provide a characterization of graphs
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