17,236 research outputs found
Total Domishold Graphs: a Generalization of Threshold Graphs, with Connections to Threshold Hypergraphs
A total dominating set in a graph is a set of vertices such that every vertex
of the graph has a neighbor in the set. We introduce and study graphs that
admit non-negative real weights associated to their vertices such that a set of
vertices is a total dominating set if and only if the sum of the corresponding
weights exceeds a certain threshold. We show that these graphs, which we call
total domishold graphs, form a non-hereditary class of graphs properly
containing the classes of threshold graphs and the complements of domishold
graphs, and are closely related to threshold Boolean functions and threshold
hypergraphs. We present a polynomial time recognition algorithm of total
domishold graphs, and characterize graphs in which the above property holds in
a hereditary sense. Our characterization is obtained by studying a new family
of hypergraphs, defined similarly as the Sperner hypergraphs, which may be of
independent interest.Comment: 19 pages, 1 figur
An Empirical Study on Budget-Aware Online Kernel Algorithms for Streams of Graphs
Kernel methods are considered an effective technique for on-line learning.
Many approaches have been developed for compactly representing the dual
solution of a kernel method when the problem imposes memory constraints.
However, in literature no work is specifically tailored to streams of graphs.
Motivated by the fact that the size of the feature space representation of many
state-of-the-art graph kernels is relatively small and thus it is explicitly
computable, we study whether executing kernel algorithms in the feature space
can be more effective than the classical dual approach. We study three
different algorithms and various strategies for managing the budget. Efficiency
and efficacy of the proposed approaches are experimentally assessed on
relatively large graph streams exhibiting concept drift. It turns out that,
when strict memory budget constraints have to be enforced, working in feature
space, given the current state of the art on graph kernels, is more than a
viable alternative to dual approaches, both in terms of speed and
classification performance.Comment: Author's version of the manuscript, to appear in Neurocomputing
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Efficient Algorithms for Distributed Detection of Holes and Boundaries in Wireless Networks
We propose two novel algorithms for distributed and location-free boundary
recognition in wireless sensor networks. Both approaches enable a node to
decide autonomously whether it is a boundary node, based solely on connectivity
information of a small neighborhood. This makes our algorithms highly
applicable for dynamic networks where nodes can move or become inoperative.
We compare our algorithms qualitatively and quantitatively with several
previous approaches. In extensive simulations, we consider various models and
scenarios. Although our algorithms use less information than most other
approaches, they produce significantly better results. They are very robust
against variations in node degree and do not rely on simplified assumptions of
the communication model. Moreover, they are much easier to implement on real
sensor nodes than most existing approaches.Comment: extended version of accepted submission to SEA 201
CLIMATE POLICY WHEN THE DISTANT FUTURE MATTERS: CATASTROPHIC EVENTS WITH HYPERBOLIC DISCOUNTING
Low probability catastrophic climate change can have a signifcant influence on policy under hyperbolic discounting. We compare the set of Markov Perfect Equilibria (MPE) to the optimal policy under time-consistent commitment. For some initial levels of risk there are multiple MPE; these may involve either excessive or insufficient stabilization effort. These results imply that even if the free-rider problem amongst contemporaneous decision-makers were solved, there may remain a coordination problem amongst successive generations of decision-makers. A numerical example shows that under plausible conditions society should respond vigorously to the threat of climate change.abrupt climate change, event uncertainty, catastrophic risk, hyperbolic discounting, Markov Perfect Equilibria, Environmental Economics and Policy, C61, C73, D63, D99, Q54,
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