Results 31 to 40 of about 295,471 (297)

Tree partitioning via vertex deletion

open access: yesElectronic Notes in Discrete Mathematics, 2001
Abstract Motivated by tree partitioning problems, we introduce the notion of i-divider of a tree, t -dividers generalize concepts well-known in literature, such as centroids and separators, that are the backbone of tree decomposition algorithms based on vertex deletion.
FINOCCHI, Irene, PETRESCHI, Rossella
openaire   +3 more sources

Instanton counting and O-vertex

open access: yesJournal of High Energy Physics, 2021
We present closed-form expressions of unrefined instanton partition functions for gauge groups of type BCD as sums over Young diagrams. For SO(n) gauge groups, we provide a fivebrane web picture of our formula based on the vertex-operator formalism of ...
Satoshi Nawata, Rui-Dong Zhu
doaj   +1 more source

Vertex Set Partitions Preserving Conservativeness

open access: yesJournal of Combinatorial Theory, Series B, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alexander A. Ageev   +1 more
openaire   +1 more source

On the Locating Chromatic Number of Certain Barbell Graphs

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2018
The locating chromatic number of a graph G is defined as the cardinality of a minimum resolving partition of the vertex set V(G) such that all vertices have distinct coordinates with respect to this partition and every two adjacent vertices in G are not ...
Asmiati   +2 more
doaj   +1 more source

Which metrics for vertex-cut partitioning? [PDF]

open access: yes2016 11th International Conference for Internet Technology and Secured Transactions (ICITST), 2016
In this paper we focus on vertex-cut graph partitioning and we investigate how it is possible to evaluate the quality of a partition before running the computation. To this purpose we scrutinize a set of metrics proposed in literature. We carry experiments with the widely-used framework for graph processing Apache GraphX and we perform an accurate ...
Mykhailenko, Hlib   +2 more
openaire   +2 more sources

Minimum 2SAT-DELETION: inapproximability results and relations to Minimum Vertex Cover [PDF]

open access: yes, 2007
The MINIMUM 2SAT-DELETION problem is to delete the minimum number of clauses in a 2SAT instance to make it satisfiable. It is one of the prototypes in the approximability hierarchy of minimization problems Khanna et al.
Chlebikova, Janka   +5 more
core   +1 more source

Frugality Ratios and Improved Truthful Mechanisms for Vertex Cover [PDF]

open access: yes, 2007
In set-system auctions, there are several overlapping teams of agents, and a task that can be completed by any of these teams. The auctioneer's goal is to hire a team and pay as little as possible.
Elkind, Edith   +2 more
core   +2 more sources

Partitioning 3-colored complete graphs into three monochromatic cycles [PDF]

open access: yes, 2011
We show in this paper that in every 3-coloring of the edges of Kn all but o(n) of its vertices can be partitioned into three monochromatic cycles. From this, using our earlier results, actually it follows that we can partition all the vertices into at
Gyárfás, András   +3 more
core   +1 more source

THE PARTITION DIMENSION OF CYCLE BOOKS GRAPH B_(m,n) WITH A COMMON PATH P_2

open access: yesBarekeng
Suppose  is a connected graph with  elements of a set of vertices  denoted by  and  a subset of . The distance between  and  is the shortest distance  to every vertex  in . Let  be a partition of , where each subset  belongs to .
Jaya Santoso, Darmaji Darmaji
doaj   +1 more source

The Partition Dimension of Daisy Graphs and Its Barbell

open access: yesScience and Technology Indonesia
The partition dimension of a graph is determined by minimum number of vertex partitions such that every vertex has different distances to the ordered partitions.
Asmiati   +3 more
doaj   +1 more source

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