Induced Immersions
نویسندگان
چکیده
A graph G contains a multigraph H as an induced immersion if H can be obtained from G by a sequence of vertex deletions and lifts. We present a polynomial-time algorithm that decides for any fixed multigraph H whether an input graph G contains H as an induced immersion. We also show that for every multigraph H with maximum degree at most 2, there exists a constant cH such that every graph with treewidth more than cH contains H as an induced immersion.
منابع مشابه
The effect of subcutaneous naloxone on experimentally induced pain.
UNLABELLED The heat pain threshold was assessed in 32 healthy participants after a mild burn on the dorsal surface of each hand, after injection of an opioid antagonist (80 microg naloxone) or vehicle alone (0.2 mL saline) into the burnt skin of 1 hand, and after repeated painful immersion of this hand in cold water for up to 180 seconds. We hypothesized that sensitivity to heat would decrease ...
متن کاملSobolev Metrics on Shape Space of Hypersurfaces in N-space
This paper extends parts of the results from [10] for plane curves to the case of hypersurfaces in R. Let M be a compact connected oriented n − 1 dimensional manifold without boundary. Then shape space is either the manifold of submanifolds of R of type M , or the orbifold of immersions from M to R modulo the group of diffeomorphisms of M . We investigate the Sobolev Riemannian metrics on shape...
متن کاملHolomorphic Cubic Differentials and Minimal Lagrangian Surfaces in Ch
Minimal Lagrangian submanifolds of a Kähler manifold represent a very interesting class of submanifolds as they are Lagrangian with respect to the symplectic structure of the ambient space, while minimal with respect to the Riemannian structure. In this paper we study minimal Lagrangian immersions of the universal cover of closed surfaces (of genus g ≥ 2) in CH, with prescribed data (σ, tq), wh...
متن کاملCURVATURE WEIGHTED METRICS ON SHAPE SPACE OF HYPERSURFACES IN n-SPACE
Let M be a compact connected oriented n−1 dimensional manifold without boundary. In this work, shape space is the orbifold of unparametrized immersions from M to Rn. The results of [1], where mean curvature weighted metrics were studied, suggest to incorporate Gauß curvature weights in the definition of the metric. This leads us to study metrics on shape space that are induced by metrics on the...
متن کاملSobolev Metrics on Shape Space of Surfaces in N-space
This paper extends parts of the results from [14] for plane curves to the case of surfaces in Rn. Let M be a compact connected oriented manifold of dimension less than n without boundary. Then shape space is either the manifold of submanifolds of Rn of type M , or the orbifold of immersions from M to Rn modulo the group of diffeomorphisms of M . We investigate the Sobolev Riemannian metrics on ...
متن کاملInvariants of Generic Immersions
An immersion of a smooth manifold M into a smooth manifold W is a smooth map with everywhere injective differential. Two immersions are regularly homotopic if they can be connected by a continuous 1-parameter family of immersions. An immersion is generic if all its self-intersections are transversal. In the space F of immersions M → W , generic immersions form an open dense subspace. Its comple...
متن کامل