Rule Algebras for Adhesive Categories [PDF]
We demonstrate that the most well-known approach to rewriting graphical structures, the Double-Pushout (DPO) approach, possesses a notion of sequential compositions of rules along an overlap that is associative in a natural sense.
Nicolas Behr, Pawel Sobocinski
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A Linear Kernel for Planar Total Dominating Set [PDF]
A total dominating set of a graph $G=(V,E)$ is a subset $D \subseteq V$ such that every vertex in $V$ is adjacent to some vertex in $D$. Finding a total dominating set of minimum size is NP-hard on planar graphs and W[2]-complete on general graphs when ...
Valentin Garnero, Ignasi Sau
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On the number of pancake stacks requiring four flips to be sorted [PDF]
Using existing classification results for the 7- and 8-cycles in the pancake graph, we determine the number of permutations that require 4 pancake flips (prefix reversals) to be sorted.
Saúl A. Blanco +2 more
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Improved kernels for Signed Max Cut parameterized above lower bound on (r,l)-graphs [PDF]
A graph $G$ is signed if each edge is assigned $+$ or $-$. A signed graph is balanced if there is a bipartition of its vertex set such that an edge has sign $-$ if and only if its endpoints are in different parts.
Luerbio Faria +3 more
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Simpler and Unified Recognition Algorithm for Path Graphs and Directed Path Graphs [PDF]
A path graph is the intersection graph of paths in a tree. A directed path graph is the intersection graph of paths in a directed tree. Even if path graphs and directed path graphs are characterized very similarly, their recognition algorithms differ ...
Lorenzo Balzotti
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Flow Faster: Efficient Decision Algorithms for Probabilistic Simulations [PDF]
Strong and weak simulation relations have been proposed for Markov chains, while strong simulation and strong probabilistic simulation relations have been proposed for probabilistic automata.
Lijun Zhang +3 more
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On fixed-parameter tractability of the mixed domination problem for graphs with bounded tree-width [PDF]
A mixed dominating set for a graph $G = (V,E)$ is a set $S\subseteq V \cup E$ such that every element $x \in (V \cup E) \backslash S$ is either adjacent or incident to an element of $S$. The mixed domination number of a graph $G$, denoted by $\gamma_m(G)$
M. Rajaati +3 more
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Imaging capability of pseudomorphic high electron mobility transistors, AlGaN/GaN, and Si micro-Hall probes for scanning Hall probe microscopy between 25 and 125°C [PDF]
The authors present a comparative study on imaging capabilities of three different micro-Hall probe sensors fabricated from narrow and wide band gap semiconductors for scanning hall probe microscopy at variable temperatures.
Akram, R., Dede, M., Oral, Ahmet
core +2 more sources
Irreversible 2-conversion set in graphs of bounded degree [PDF]
An irreversible $k$-threshold process (also a $k$-neighbor bootstrap percolation) is a dynamic process on a graph where vertices change color from white to black if they have at least $k$ black neighbors. An irreversible $k$-conversion set of a graph $G$
Jan Kynčl +2 more
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On rank-width of even-hole-free graphs [PDF]
We present a class of (diamond, even hole)-free graphs with no clique cutset that has unbounded rank-width. In general, even-hole-free graphs have unbounded rank-width, because chordal graphs are even-hole-free. A.A. da Silva, A. Silva and C.
Isolde Adler +5 more
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