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Cactus graph
Known as:
Cactus (disambiguation)
In graph theory, a cactus (sometimes called a cactus tree) is a connected graph in which any two simple cycles have at most one vertex in common…
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Related topics
Related topics
20 relations
Binary matroid
Combinatorial optimization
Cycle (graph theory)
Cycle double cover
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Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2017
2017
A Simple Linear Time Algorithm for Computing a 1-Median on Cactus Graphs
K. Nguyen
,
Pham Van Chien
,
Ly Hong Hai
,
Huynh Duc Quoc
2017
Corpus ID: 37713624
We address the problem of finding a 1-median on a cactus graph. The problem has already been solved in linear time by the…
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2016
2016
Multiplicative Zagreb indices of cactus graphs
Shaohui Wang
,
B. Wei
2016
Corpus ID: 130647658
Given a graph G, let M(G) and ∏ (G) be Zagreb index and Multiplicative Zagreb index. A connected graph is a cactus graph if and…
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2016
2016
Claw-free graphs with equal 2-domination and domination numbers
A. Hansberg
,
L. Volkmann
,
B. Randerath
2016
Corpus ID: 36963953
For a graph $G$ a subset $D$ of the vertex set of $G$ is a {\it $k$-dominating set} if every vertex not in $D$ has at least $k…
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2016
2016
Efficient Algorithms for Clique-Colouring and Biclique-Colouring Unichord-Free Graphs
H. B. M. Filho
,
R. Machado
,
C. M. H. de Figueiredo
Algorithmica
2016
Corpus ID: 253982090
The class of unichord-free graphs was recently investigated in the context of vertex-colouring (Trotignon and Vušković in J Graph…
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2013
2013
Cordial labelling of Cactus Graphs
Nasreen Khan
,
M. Pal
2013
Corpus ID: 124987853
Suppose = ( , ) G V E be a graph with vertex set V and edge set E . A vertex labelling : {0,1} f V → induces an edge labelling…
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2012
2012
A Self-stabilizing Algorithm for the Maximal 2-packing in a Cactus Graph
J. A. Trejo-S'nchez
,
J. A. Fern¡ndez-Zepeda
IEEE 26th International Parallel and Distributed…
2012
Corpus ID: 195707335
In this paper we present a time optimal self-stabilizing algorithm for the maximal 2-packing in a cactus graph. The cactus is a…
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2012
2012
L(0, 1)-Labelling of Cactus Graphs
Nasreen Khan
,
M. Pal
,
A. Pal
2012
Corpus ID: 31330326
An L(0,1)-labelling of a graph G is an assignment of nonnegative integers to the vertices of G such that the difference between…
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2010
2010
(2,1)-Total Labelling of Cactus Graphs
Nasreen Khan
,
M. Pal
,
A. Pal
2010
Corpus ID: 123874338
Abstract. A (2,1)-total labelling of a graph is an assignment of integers to each vertex and edge such that: (i) any two adjacent…
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1998
1998
The ratio of the irredundance number and the domination number for block-cactus graphs
V. Zverovich
Journal of Graph Theory
1998
Corpus ID: 7039497
Let γ(G) and ir(G) denote the domination number and the irredundance number of a graph G, respectively. Allan and Laskar [Proc…
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1995
1995
A generalization of menger's theorem for certain block—cactus graphs
Yubao Guo
,
L. Volkmann
Graphs Comb.
1995
Corpus ID: 6466809
A graphG is called a block—cactus graph if each block ofG is complete or a cycle. In this paper, we shall show that a block…
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