Twin Domination Research Articles

A Study of Women-Nature Connections of The Rabbit Hutch from the Perspective of Ecofeminism

Tess Gunty is one of the most recognized contemporary novelists in America. Her debut novel, The Rabbit Hutch, is a mesmerizing work reflecting the individual struggles to survive and connect in a decadent modern society where everyone seems to be isolated from the outside world, whether physically or spiritually. Ecofeminism emphasizes that women and nature are closely connected as they are considered to be in an inferior status and, therefore, oppressed and dominated by men in the patriarchal society. This study intends to focus on what kind of interconnectedness of women and nature is presented in the novel and further provide an analysis of their twin domination and oppression by the male agencies of The Rabbit Hutch within the Ecofeminist theoretical framework. The novel offers ecofeminist narratives that illustrate the objectification and commodification of women and nature and exhibit the dangers of men’s master mentality and masculinized exploitation towards women and nature. The study concludes that oppressed by patriarchal agencies, women and nature formed a mutually supporting relationship. Under value dualism and hierarchical oppositions, women and nature are instrumentalized or commodified by the dualistic ideologies adopted by patriarchal agencies.

Perfect directed codes in Cayley digraphs

<p>A perfect directed code (or an efficient twin domination) of a digraph is a vertex subset where every other vertex in the digraph has a unique in- and a unique out-neighbor in the subset. In this paper, we show that a digraph covers a complete digraph if and only if the vertex set of this digraph can be partitioned into perfect directed codes. Equivalent conditions for subsets in Cayley digraphs to be perfect directed codes are given. Especially, equivalent conditions for normal subsets, normal subgroups, and subgroups to be perfect directed codes in Cayley digraphs are given. Moreover, we show that every subgroup of a finite group is a perfect directed code for a transversal Cayley digraph.</p>

Double Twin Domination Number Of Peculiar Graphs

G. Mahadevan, et, al., introduced the concept of Double Twin Domination number of a graph. DTwin (u, v) is sum of number of a u − v paths of length less than or equal to four. The total number of vertices that dominates every pair of vertices for The double twin domination number of G is defined as . In this paper we explore this parameter for Pan, Helm, Triangular Snake, related graphs.

Postcolonial Ecofeminism: A Study of K R Usha's Monkey Man and Anuradha Roy's The Folded Earth

Ecofeminism is comparatively a new part of the feminist movement that intertwines feminism and environmentalism to discus women-nature connections in terms of degradation, exploitation and injustices that lead to the oppression of women and the domination of nature in the patriarchal society. This paper explores K R Usha's Monkey Man and Anuradha Roy's The Folded Earth to bring out how the Indian women novelists have portrayed the exploitation of women and nature in the materialistic Indian Society. As eco-feminism wants to replace conceptual schemes, practices, and theories that naturalise women and feminise nature, K R Usha and Anuradha Roy point out the twin domination in this globalised era and call for the replacement of patriarchal system by feminine values. They have also identified woman-nature connection as a cultural construct and have found the ways to liberate both women and nature from false ideologies.

Efficient twin domination in generalized De Bruijn digraphs

A twin dominating set in a digraph D=(V,A) is a set S⊆V such that, for every w∈V∖S, there exist arcs (u,w),(w,v)∈A with u,v∈S. A twin dominating set S is efficient if there is no arc in the subdigraph induced by S and, for every w∈V∖S, there exist exactly one vertex u∈S and exactly one vertex v∈S such that arcs (u,w),(w,v)∈A. This paper resolves a conjecture regarding an efficient twin domination set in generalized De Bruijn digraphs. The conjecture says that the generalized De Bruijn digraphs GB(n,d) with n a multiple of d+1 have an efficient twin dominating set if and only if d is even and relatively prime to n. This paper affirms this conjecture.

Twin Domination Problems in Round Digraphs

Twin Domination Problems in Round Digraphs

Twin domination and twin irredundance in digraphs

Let D = (V,A) be a digraph. A subset S of V is called a twin dominating set of D if for every vertex v ? V ? S, there exist vertices u1, u2 ? S ( u1 and u2 may coincide) such that (v, u1) and (u2, v) are arcs in D. The minimum cardinality of a twin dominating set in D is called the twin domination number of D and is denoted by ?*(D). In this paper we present several basic results on these and other related parameters.

The [formula omitted]-tuple twin domination in generalized de Bruijn and Kautz networks

Given a digraph (network) G = ( V , A ) , a vertex u in G is said to out-dominate itself and all vertices v such that the arc ( u , v ) ∈ A ; similarly, u in-dominates both itself and all vertices w such that the arc ( w , u ) ∈ A . A set D of vertices of G is a k - tuple twin dominating set if every vertex of G is out-dominated and in-dominated by at least k vertices in D , respectively. The k -tuple twin domination problem is to determine a minimum k -tuple twin dominating set for a digraph. In this paper we investigate the k -tuple twin domination problem in generalized de Bruijn networks G B ( n , d ) and generalized Kautz G K ( n , d ) networks when d divides n . We provide construction methods for constructing minimum k -tuple twin dominating sets in these networks. These results generalize previous results given by Araki [T. Araki, The k -tuple twin domination in de Bruijn and Kautz digraphs, Discrete Mathematics 308 (2008) 6406–6413] for de Bruijn and Kautz networks.

ON THE TWIN DOMINATION NUMBER IN GENERALIZED DE BRUIJN AND GENERALIZED KAUTZ DIGRAPHS

Let V and A denote the vertex and edge sets of a digraph G. A set T ⊆V is a twin dominating set of G if for every vertex v ∈ V - T, there exist u, w ∈ T (possibly u = w) such that arcs (u, v), (v, w) ∈ A. The twin domination number γ*(G) of G is the cardinality of a minimum twin dominating set of G. In this note, we investigate the twin domination numbers of generalized de Bruijn digraph and generalized Kautz digraph. The bounds of twin domination number of special generalized Kautz digraphs are given.

Twin domination in generalized Kautz digraphs

Let G = (V, A) be a digraph. A set T of vertices of G is a twin dominating set of G if for every vertex v ∈ V \ T. There exist u, w ∈ T (possibly u = w) such that (u, v), (v, w) ∈ A. The twin domination number γ*(G) of G is the cardinality of a minimum twin dominating set of G. In this paper we consider the twin domination number in generalized Kautz digraphs GK(n, d). In these digraphs, we establish bounds on the twin domination number and give a sufficient condition for the twin domination number attaining the lower bound. We give the exact values of the twin domination numbers by constructing minimum twin dominating sets for some special generalized Kautz digraphs.

The twin domination number in generalized de Bruijn digraphs

Let G = ( V , A ) be a digraph. A set T of vertices of G is a twin dominating set of G if for every vertex v ∈ V ∖ T , there exist u , w ∈ T (possibly u = w ) such that arcs ( u , v ) , ( v , w ) ∈ A . The twin domination number γ ∗ ( G ) of G is the cardinality of a minimum twin dominating set of G. In this paper we investigate the twin domination number in generalized de Bruijn digraphs G B ( n , d ) . For the digraphs G B ( n , d ) , we first establish sharp bounds on the twin domination number. Secondly, we give the exact values of the twin domination number for several types of G B ( n , d ) by constructing minimum twin dominating sets in the digraphs. Finally, we present sharp upper bounds for some special generalized de Bruijn digraphs.

The [formula omitted]-tuple twin domination in de Bruijn and Kautz digraphs

A vertex u in a digraph G out-dominates itself and all vertices v such that ( u , v ) is an arc of G , similarly, u in-dominates both itself and all vertices w such that ( w , u ) is an arc of G . A set D of vertices of G is a twin dominating set of G if every vertex of G is out-dominated by a vertex of D and in-dominated by a vertex in D . In this paper, we introduce the k -tuple twin domination in directed graphs. A set D of vertices of G is a k -tuple twin dominating set if every vertex of G is out-dominated by at least k vertices in D and in-dominated by at least k vertices in D . We consider the problem of the k -tuple twin domination in de Bruijn and Kautz digraphs, and give construction methods for constructing minimum k -tuple twin dominating sets in these digraphs.

Ecofeminism and Globalisation: A Critical Appraisal

Ecofeminism offers a useful yet limited framework through which to critique globalisation. Ecofeminism claims that the domination of women and of nature are intrinsically linked. Material ecofeminists, in particular, focus on the material conditions of women's lives locating the source of this twin domination in patriarchal capitalism. These ecofeminists provide insights into the impacts of globalisation on women but their analysis of the causes of globalisation are limited. They identify globalisation as an outgrowth of patriarchal capitalism, insisting on the primacy of gender as the determinant of social organisation and arguing that it is the dichotomy between production and reproduction that essentially defines capitalism. However, the rise of modern capitalism has been more convincingly described by those who focus on the domination of workers, the role of the market economy, and the enrolment of all sections of society through the propagation of the work ethic and the allure of consumerism.

Negotiating in a World of Change: Ecofeminist Guideposts for Leisure Scholarship

The changing nature of global society indicates that topics such as environmental quality, women's rights and status, the liberation and economic realities of people of the so-called developing countries, and the care and protection of children have profound ramifications for leisure scholarship. For example, environmental destruction leads not only to a lowering of status for women but a reduction in leisure opportunities in a natural setting. The production of leisure goods bought in some countries is directly related to a decrease in the status of women and environmental quality in other countries (Dankelman & Davidson, 1989; Shiva, 1988). Furthermore, if the basic ethical components of leisure scholarship and practice (e.g., quality of life, joy and celebration, enhancement of an individual's and community's potential) are still relevant, then we, as leisure scholars and professionals, are obligated to examine the foundation and assumptions of our knowledge and frameworks and whether our knowledge nurtures or oppresses people and nature. Such a process can be facilitated and enhanced by the insights inherent in ecofeminist perspectives. This paper explores the relevance of a specific ecofeminist philosophical perspective(1) to leisure and recreation.ECOLOGICAL FEMINISMSEcological feminisms or ecofeminisms began in the early 1970s and were shaped by the day-to-day efforts of ordinary women to survive with their families. They simultaneously appeared in several places around the world, primarily in the so-called developing countries, and in 1974 d'Eaubonne first introduced the term, ecofeminisme. Ecofeminisms, first and foremost, acknowledge the connection between women and nature and have been described as philosophies ...made flesh by our passion to create ourselves in deep communion with our planet (Hynes quoted in Rodda, 1991, p. 4). Women have been instrumental in organizing to protect the environment, e.g., Rachel Carson and Silent Spring, Gro Brundtland and the World Commission on Environment and Development, and Wangari Maathai of the Green Belt Movement in Kenya (Rodda, 1991). On the other hand, some connections between women and nature demonstrate how both have suffered. For example, the construction of dams for water, energy and recreation often have corollary results of poverty for women and children as well as degradation of the environment (Dankelman & Davidson, 1989).A basic similarity among all ecofeminisms is the identification of the twin domination of women and nature. Warren (1990) carefully delineated a philosophical and ethical structure of ecofeminisms which characterizes an oppressive conceptual framework, identifies eight minimal conditions, and provides the basis of this paper. Warren focuses on a specific conceptual framework(2) that oppresses both nature and women and provides the basis for all other oppressions. This oppressive conceptual framework revolves around value dualisms, value-hierarchical thinking, and a logic of domination.Value dualisms describe disjunctive pairs in oppositional form and place a higher value on one disjunct over the other. Value-hierarchical thinking places items in an up-down relationship and values that which is up. A logic of domination is comprised of a logical structure and a substantive value system that permits or sanctions the just subordination of that which is subordinate, down, or valued less. Patriarchal conceptual frameworks(3) do not claim that women are any closer to nature than men. They define and link women to nature (partially based upon woman's reproductive labor) in very obvious ways that are also denigrated by patriarchal cultures. Examples of the conceptual connections between women and nature include (1) sexist and naturist language (i.e., language that inferiorizes women and nonhuman nature) which describes women in animal terms (e.g., as chicks, bitches, old bats, pussycats, bird-brains) and nature in female and sexual terms(4) (e. …