We provide a dynamic policy for the rapid containment of a contagion process modeled as an SIS epidemic on a bounded degree undirected graph with $n$ nodes. We show that if the budget $r$ of curing resources available at each time is $\Omega (W)$ , where $W$ is the CutWidth of the graph, and also of order $\Omega (\log\; n)$ , then the expected time until the extinction of the epidemic is of order $O(n/r)$ , which is within a constant factor from optimal, as well as sublinear in the number of nodes. Furthermore, if the CutWidth increases only sublinearly with $n$ , a sublinear expected time to extinction is possible with a sublinearly increasing budget $r$ .

/pdf/an-efficient-curing-policy-for-epidemics-on-graphs-12qczuzflx.pdf

An Efficient Curing Policy for Epidemics on Graphs

http://users.uoa.gr/~sedthilk/papers/cut.pdf

Cutwidth I: a linear time fixed parameter algorithm

http://users.uoa.gr/~sedthilk/papers/dlogn.pdf

Cutwidth II: Algorithms for partial w-trees of bounded degree

This book studies exponential time algorithms for NP-hard problems. In this modern area, the aim is to design algorithms for combinatorially hard problems that execute provably faster than a brute-force enumeration of all candidate solutions. After an introduction and survey of the field, the text focuses first on the design and especially the analysis of branching algorithms. The analysis of these algorithms heavily relies on measures of the instances, which aim at capturing the structure of the instances, not merely their size. This makes them more appropriate to quantify the progress an algorithm makes in the process of solving a problem. Expanding the methodology to design exponential time algorithms, new techniques are then presented. Two of them combine treewidth based algorithms with branching or enumeration algorithms. Another one is the iterative compression technique, prominent in the design of parameterized algorithms, and adapted here to the design of exponential time algorithms. This book assumes basic knowledge of algorithms and should serve anyone interested in exactly solving hard problems.

/pdf/exponential-time-algorithms-structures-measures-and-bounds-4rfrjwk84u.pdf

Exponential Time Algorithms: Structures, Measures, and Bounds

This paper provides an implementable dynamic policy for the rapid containment of a contagious process modeled as an SIS epidemic. We show that for graphs with low CutWidth (sublinear) rapid containment defined as achieving sublinear expected extinction time for the epidemic is feasible with sublinear budget and is achieved by this policy.

An efficient curing policy for epidemics on graphs

Tree-width, path-width, and cutwidth

Handle everyday research tasks with reliable, citation-backed results

Your personal Research Agent to handle research tasks with citation-backed results

Popular Tasks used by Researchers

How can I help with your research?

Meet SciSpace

Get more enhanced response by uploading the PDFs you want me to reference.

No relevant PDFs in your library

SciSpace is the AI research assistant for academics. Run systematic literature reviews on 280M+ papers, and write papers with cited sources. Trusted by 1M+ students, PhDs & researchers.

SciSpace | AI for Research

Analyze PDFs

Code & Manuscripts

Funding & Grants

Literature & Patents

Medical & Clinical Data

Systematic Review

Visualize & Present

Web & Data

Build a Google Scholar-like website for your research.

Build a website

Create charts and images for your research

Create a Chart

Write a paper for submission to a journal

Draft a manuscript

Patent Search

Design eye-catching scientific posters in minutes.

Scientific Poster Generation

Systematic Literature Review

One task is running at the moment. Your messages will be shown right after.

Drag and drop or click here to browse

Loved by <highlight>1 million+</highlight> researchers

Extract a list of specific topics and their sources from unstructured text

Topics

Compare and analyze relevant papers that matches with your search

Papers

Get insights from PDFs and bookmarked papers from your library

My library

Recent searches

Try searching for:

Catch AI-generated content in scholarly and non-scholarly content

{ai} Detector

Ai Writer

Get PDF Summaries, highlighted text explanations 

Chat with PDF

Effortlessly create in-text citations and bibliographies in APA and 2,500 other formats

Citation generator

Get explanations, summaries, and answers on academic papers

Ease up your research workflow with {scispace}'s cohort of exciting AI tools

Elevate your academic writing skills and convey your ideas the way you want

Paraphraser

Explore our range of reading and writing tools

Your file is being prepared and should be ready in a few minutes. If it's a large file, it might take a bit longer. You can close this window, and we'll email you the file when it's done.

You have reached a maximum limit of <strong>{limit}</strong> columns in the table. Remove at least <strong>1</strong> column to add or create another one.

Nir Solel

Author Tools

Chat about Author

Papers

Tree-width, path-width, and cutwidth