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Graph aggregation is the process of computing a single output graph that constitutes a good compromise between several input graphs, each provided by a different source. One needs to perform graph aggregation in a wide variety of…

Artificial Intelligence · Computer Science 2018-06-13 Ulle Endriss , Umberto Grandi

There are profound relations between the zero forcing number and minimum rank of a graph. We study the relation of both parameters with a third one, the algebraic co-rank; that is defined as the largest $i$ such that the $i$-th critical…

Combinatorics · Mathematics 2017-10-11 Carlos A. Alfaro , Jephian C. -H. Lin

In a zero forcing process, vertices of a graph are colored black and white initially, and if there exists a black vertex adjacent to exactly one white vertex, then the white vertex is forced to be black. A zero blocking set is an initial…

Combinatorics · Mathematics 2025-08-14 Hau-Yi Lin , Wu-Hsiung Lin , Gerard Jennhwa Chang

The computation of the domination-type parameters is a challenging problem in Cartesian product graphs. We present an algorithmic method to compute the $2$-domination number of the Cartesian product of a path with small order and any cycle,…

Discrete Mathematics · Computer Science 2024-09-27 E. M. Garzón , J. A. Martínez , J. J. Moreno , M. L. Puertas

We investigate the interrelation between graph searching games and games with imperfect information. As key consequence we obtain that parity games with bounded imperfect information can be solved in PTIME on graphs of bounded DAG-width…

Computer Science and Game Theory · Computer Science 2015-03-19 Bernd Puchala , Roman Rabinovich

It was found in the paper that the time frames of the studied system operation depend on the research objective. In cases when it comes to problems, related to the physical movement of the input and output products, limits of the study are…

Optimization and Control · Mathematics 2015-10-15 Igor Lutsenko

Text summarization is a well-studied problem that deals with deriving insights from unstructured text consumed by humans, and it has found extensive business applications. However, many real-life tasks involve generating a series of actions…

Computation and Language · Computer Science 2024-07-19 Vishal Pallagani , Biplav Srivastava , Nitin Gupta

A natural approach to analyze interaction data of form "what-connects-to-what-when" is to create a time-series (or rather a sequence) of graphs through temporal discretization (bandwidth selection) and spatial discretization (vertex…

Machine Learning · Statistics 2015-01-13 Nam H. Lee , Carey Priebe , Youngser Park , I-Jeng Wang , Michael Rosen

We study the problem of approximately counting the number of list packings of a graph. The analogous problem for usual vertex coloring and list coloring has attracted a lot of attention. For list packing the setup is similar but we seek a…

Combinatorics · Mathematics 2024-02-07 Evan Camrud , Ewan Davies , Alex Karduna , Holden Lee

Entanglement is a complexity measure of directed graphs that origins in fixed point theory. This measure has shown its use in designing efficient algorithms to verify logical properties of transition systems. We are interested in the…

Logic in Computer Science · Computer Science 2009-04-09 Walid Belkhir , Luigi Santocanale

We investigate extremal graphs related to the game of Cops and Robbers. We focus on graphs where a single cop can catch the robber; such graphs are called cop-win. The capture time of a cop-win graph is the minimum number of moves the cop…

Combinatorics · Mathematics 2019-03-21 David Offner , Kerry Ojakian

A polynomial time algorithm which detects all paths and cycles of all lengths in form of vertex pairs (start, finish).

Discrete Mathematics · Computer Science 2007-09-10 Sergey Gubin

A fork stack is a generalised stack which allows pushes and pops of several items at a time. We consider the problem of determining which input streams can be sorted using a single forkstack, or dually, which permutations of a fixed input…

Discrete Mathematics · Computer Science 2007-05-23 M. H. Albert , M. D. Atkinson

Workflow graphs extend classical flow charts with concurrent fork and join nodes. They constitute the core of business processing languages such as BPMN or UML Activity Diagrams. The activities of a workflow graph are executed by humans or…

Logic in Computer Science · Computer Science 2018-02-23 Philipp J. Meyer , Javier Esparza , Hagen Völzer

This paper addresses the challenge of understanding the waiting dependencies between the threads and hardware resources required to complete a task. The objective is to improve software performance by detecting the underlying bottlenecks…

Software Engineering · Computer Science 2021-03-09 Naser Ezzati-Jivan , Quentin Fournier , Michel R. Dagenais , Abdelwahab Hamou-Lhadj

Temporal graphs provide a useful model for many real-world networks. Unfortunately the majority of algorithmic problems we might consider on such graphs are intractable. There has been recent progress in defining structural parameters which…

Discrete Mathematics · Computer Science 2024-11-20 Jessica Enright , Samuel D. Hand , Laura Larios-Jones , Kitty Meeks

In this paper, we work in the framework of the Merton problem but we impose a drawdown constraint on the consumption process. This means that consumption can never fall below a fixed proportion of the running maximum of past consumption. In…

Portfolio Management · Quantitative Finance 2012-10-19 T. Arun

We consider the following two deterministic inventory optimization problems over a finite planning horizon $T$ with non-stationary demands. (a) Submodular Joint Replenishment Problem: This involves multiple item types and a single retailer…

Data Structures and Algorithms · Computer Science 2015-04-27 Viswanath Nagarajan , Cong Shi

We review some features of topology optimization with a lower bound on the critical load factor, as computed by linearized buckling analysis. The change of the optimized design, the competition between stiffness and stability requirements…

Numerical Analysis · Mathematics 2018-09-25 Federico Ferrari , Ole Sigmund

Sampling is a widely used graph reduction technique to accelerate graph computations and simplify graph visualizations. By comprehensively analyzing the literature on graph sampling, we assume that existing algorithms cannot effectively…

Social and Information Networks · Computer Science 2020-09-17 Ying Zhao , Haojin Jiang , Qi'an Chen , Yaqi Qin , Huixuan Xie , Yitao Wu Shixia Liu , Zhiguang Zhou , Jiazhi Xia , Fangfang Zhou