Results 71 to 80 of about 971 (113)
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
Decomposition of the Product of Cycles Based on Degree Partition
The Cartesian product of n cycles is a 2n-regular, 2n-connected and bi- pancyclic graph. Let G be the Cartesian product of n even cycles and let 2n = n1+ n2+ ・ ・ ・ + nkwith k ≥ 2 and ni≥ 2 for each i. We prove that if k = 2, then G can be decomposed into
Borse Y. M., Shaikh S. R.
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On the Classical-Quantum Relation of Constants of Motion
Groenewold-Van Hove theorem suggest that is not always possible to transform classical observables into quantum observables (a process known as quantization) in a way that, for all Hamiltonians, the constants of motion are preserved.
Fabian Belmonte+3 more
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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
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A survey of the all-pairs shortest paths problem and its variants in graphs
There has been a great deal of interest in the computation of distances and shortest paths problem in graphs which is one of the central, and most studied, problems in (algorithmic) graph theory.
Udaya Kumar Reddy K. R.
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$2$-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
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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
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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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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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Matching with Couples: a Multidisciplinary Survey [PDF]
This survey deals with two-sided matching markets where one set of agents (workers/residents) has to be matched with another set of agents (firms/hospitals). We first give a short overview of a selection of classical results.
Flip Klijn, Peter Biro
core