Abstract: The Socioenactive approach is a new field of study exploring novel dimensions of the design and development of computational systems. Socioenactive systems are computational systems that consider the human brain, body, and the environment surrounding it in the design of interactions. This promising research area brings new perspectives to the Human-Computer Interaction field, studying phenomena that occur in humans' brains, bodies, and their environments, considering cognition, sensorimotor processes, perception, and emotions. In socio-emotional interactions, the emotion contagion phenomenon emerges through bodily expressions, in particular, through neurophysiological expressions. Artificial Intelligence (AI) is being used to analyze emotions from human neurophysiological data. This study conducts a literature review concerning socienactive systems associated with AI and the Emotional Contagion Phenomenon. Considering the PRISMA (Preferred Reporting Items for Systematic Reviews and Meta-Analyses) protocol, we guided our search for relevant studies. We identified studies from four different search libraries. We conducted a screening process based on the titles and abstracts of these investigations. After applying the exclusion criteria, we filtered and selected several studies. We analyzed the selected studies based on their main keywords and related concepts. We analyzed these studies considering their relevance for future studies.
Abstract: Let
be a matching of a graph
and let
and
be the sets of
-saturated and
-unsaturated vertices of
, respectively. A vertex
is unlocked if there exists a vertex
. The matching
is unlocked if every vertex in
is unlocked. We say that a graph
is
-fully-extendable if every unlocked matching
in
of size
can be extended to a perfect matching of
. In this work, we study
-fully-extendable graphs of order
, characterizing the cases
and
. For the case
, we provide additional necessary conditions, based on degree bounds, as well as sufficient conditions, based on classes of graphs.
Abstract: A matching
in a graph
is said to be extendable to a perfect matching if there exists a perfect matching
of
such that
. In this work, we study the extendability of matchings under a neighbourhood condition: no unsaturated vertex has all of its neighbours
-saturated. Vandenbussche and West showed that, in the hypercube
, any matching of size at most
is extendable to a perfect matching if and only if it satisfies this condition. We extend their result to the cartesian product
, by proving that every matching of size at most
is extendable to a perfect matching if and only if it does not saturate the neighbourhood of any unsaturated vertex. Furthermore, we demonstrate that this bound is tight by constructing a matching of size
in
that satisfies the neighbourhood condition but is not extendable to a perfect matching.
Abstract: A dominating set of a graph
is a subset
such that every vertex in
either belongs to
or is adjacent to some vertex in
. The domination number
is the minimum cardinality of a dominating set of
. An independent dominating set of
is a dominating set that is also independent and
is the cardinality of minimum independent dominating set of
. The computational complexity of these problems has led to extensive research focused on establishing bounds or exact values for these parameters in for graph families, especially cubic graphs. Additionally, determining the gap between these two parameters is a challenging problem. In this work, we introduce a family of cubic graphs, called Goldberg Graphs
, which generalizes the well-known Goldberg Snarks and show that, for these graphs,
.
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