Results 31 to 40 of about 1,532 (205)
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Müller, Moritz, Szeider, Stefan
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The treewidth of smart contracts [PDF]
Smart contracts are programs that are stored and executed on the Blockchain and can receive, manage and transfer money in the form of cryptocurrency units. Two important problems regarding smart contracts are formal analysis and compiler optimization. Formal analysis is extremely important, because smart contracts hold funds worth billions of dollars ...
Chatterjee, Krishnendu +2 more
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25 ...
Chandran, LS, Sivadasan, N
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On the treewidth of Hanoi graphs
The objective of the well-known Towers of Hanoi puzzle is to move a set of disks one at a time from one of a set of pegs to another, while keeping the disks sorted on each peg. We propose an adversarial variation in which the first player forbids a set of states in the puzzle, and the second player must then convert one randomly-selected state to ...
David Eppstein +2 more
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On the Treewidth of Dynamic Graphs [PDF]
Dynamic graph theory is a novel, growing area that deals with graphs that change over time and is of great utility in modelling modern wireless, mobile and dynamic environments. As a graph evolves, possibly arbitrarily, it is challenging to identify the graph properties that can be preserved over time and understand their respective computability.
Mans, Bernard, Mathieson, Luke
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A Machine Learning Approach to Algorithm Selection for Exact Computation of Treewidth
We present an algorithm selection framework based on machine learning for the exact computation of treewidth, an intensively studied graph parameter that is NP-hard to compute.
Borislav Slavchev +2 more
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Bouchitté, Vincent +3 more
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Stable gonality is computable [PDF]
Stable gonality is a multigraph parameter that measures the complexity of a graph. It is defined using maps to trees. Those maps, in some sense, divide the edges equally over the edges of the tree; stable gonality asks for the map with the minimum number
Ragnar Groot Koerkamp +1 more
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An improved algorithm for the vertex cover $P_3$ problem on graphs of bounded treewidth [PDF]
Given a graph $G=(V,E)$ and a positive integer $t\geq2$, the task in the vertex cover $P_t$ ($VCP_t$) problem is to find a minimum subset of vertices $F\subseteq V$ such that every path of order $t$ in $G$ contains at least one vertex from $F$.
Zongwen Bai, Jianhua Tu, Yongtang Shi
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We prove that for every graph $G$ with $n$ vertices, the treewidth of $G$ plus the treewidth of the complement of $G$ is at least $n-2$. This bound is tight.
Joret, Gwenaël, Wood, D.
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