Results 61 to 70 of about 155 (146)
A Note on Graph Burning of Path Forests [PDF]
Graph burning is a natural discrete graph algorithm inspired by the spread of social contagion. Despite its simplicity, some open problems remain steadfastly unsolved, notably the burning number conjecture, which says that every connected graph of order $
Ta Sheng Tan, Wen Chean Teh
doaj +1 more source
$2$-polarity and algorithmic aspects of polarity variants on cograph superclasses [PDF]
A graph $G$ is said to be an $(s, k)$-polar graph if its vertex set admits a partition $(A, B)$ such that $A$ and $B$ induce, respectively, a complete $s$-partite graph and the disjoint union of at most $k$ complete graphs.
Fernando Esteban Contreras-Mendoza +1 more
doaj +1 more source
Chordality and 2-Factors in Tough Graphs [PDF]
AgraphG is chordal if it contains no chordless cycle of length at least four and is k-chordal if a longest chordless cycle in G has length at most k.Inthis note it is proved that all 3 2 -tough 5-chordal graphs have a 2-factor.
Veldman, H.J. +7 more
core +1 more source
The agreement distance of rooted phylogenetic networks [PDF]
The minimal number of rooted subtree prune and regraft (rSPR) operations needed to transform one phylogenetic tree into another one induces a metric on phylogenetic trees - the rSPR-distance.
Jonathan Klawitter
doaj +1 more source
Fast algorithms for determining (generalized) core groups in social networks
Core, Large network, Decomposition, Graph algorithm, 05A18, 05C70, 05C85, 05C90, 68R10, 68W40, 92H30, 92G30, 93A15,
Vladimir Batagelj, Matjaž Zaveršnik
core +1 more source
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
doaj +1 more source
Shrub-depth: Capturing Height of Dense Graphs [PDF]
The recent increase of interest in the graph invariant called tree-depth and in its applications in algorithms and logic on graphs led to a natural question: is there an analogously useful "depth" notion also for dense graphs (say; one which is stable ...
Robert Ganian +4 more
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Finite-dimensional Zinbiel algebras and combinatorial structures
In this paper, we study the link between finite-dimensional Zinbiel algebras and combinatorial structures or (pseudo)digraphs determining which configurations are associated with those algebras.
Ceballos Manuel +2 more
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Complex of abstract cubes and median problem [PDF]
In this paper a special complex $\mathcal{K}^{n}$ of abstract cubes [2, 3], which contains only $n$-dimensional cubes is examined. The border of this complex is an abstract $(n-1)$-dimensional sphere.
Sergiu Cataranciuc, Petru Soltan
doaj
Optimizing compatible sets in wireless networks through integer programming
In wireless networks, the notion of compatible set refers to a set of radio links that can be simultaneously active with a tolerable interference. Finding a compatible set with maximum weighted revenue from the parallel transmissions is an important ...
Yuan Li +3 more
doaj +1 more source

