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Belongingness is the human emotional need to be an accepted member of a group.Whether it is family, friends, co-workers, a religion, or something else, some people tend to have an 'inherent' desire to belong and be an important part of something greater than themselves.
Interdependence theory is a social exchange theory that states that interpersonal relationships are defined through interpersonal interdependence, which is "the process by which interacting people influence one another's experiences" [1] (Van Lange & Balliet, 2014, p. 65).
This graph becomes disconnected when the right-most node in the gray area on the left is removed This graph becomes disconnected when the dashed edge is removed.. In mathematics and computer science, connectivity is one of the basic concepts of graph theory: it asks for the minimum number of elements (nodes or edges) that need to be removed to separate the remaining nodes into two or more ...
In certain situations, the need for belonging may overcome the physiological and security needs, depending on the strength of the peer pressure. In contrast, for some individuals, the need for self-esteem is more important than the need for belonging; and for others, the need for creative fulfillment may supersede even the most basic needs. [25]
By the handshaking lemma, these two positions belong to the same connected component of the graph, and a path from one to the other necessarily passes through the desired meeting point. [ 14 ] The reconstruction conjecture concerns the problem of uniquely determining the structure of a graph from the multiset of subgraphs formed by removing a ...
In computing and graph theory, a dynamic connectivity structure is a data structure that dynamically maintains information about the connected components of a graph. The set V of vertices of the graph is fixed, but the set E of edges can change. The three cases, in order of difficulty, are:
The following generalizes Cayley's formula to labelled forests: Let T n,k be the number of labelled forests on n vertices with k connected components, such that vertices 1, 2, ..., k all belong to different connected components. Then T n,k = k n n − k − 1. [5]
A graph that is locally H is claw-free if and only if the independence number of H is at most two; for instance, the graph of the regular icosahedron is claw-free because it is locally C 5 and C 5 has independence number two. The locally linear graphs are the graphs in which every neighbourhood is an induced matching. [5]