Results 121 to 130 of about 64,086 (307)
COMPUTING THE ANTI-KEKULÉ NUMBER OF CERTAIN NANOTUBES AND NANOCONES
Let G(V,E) be a connected graph. A set M subset of E is called a matching if no two edges in M have a common end-vertex. A matching M in G is perfect if every vertex of G is incident with an edge in M.
Mehar Ali MALIK, Muhammad IMRAN
doaj
Perfect Graphs, Partitionable Graphs and Cutsets
We prove a theorem about cutsets in partitionable graphs that generalizes earlier results on amalgams, 2-amalgams and homogeneous pairs.
CONFORTI, MICHELANGELO +3 more
openaire +2 more sources
A Parallel Algorithm to Four-colour a Perfect Planar Graph [PDF]
We present a parallel algorithm to colour a perfect, planar graph with four colours. Thealgorithm requires that a planar drawing of the graph be initially presented as input.
Stewart IA
core
This study explores how information processing is distributed between brains and bodies through a codesign approach. Using the “backpropagation through soft body” framework, brain–body coupling agents are developed and analyzed across several tasks in which output is generated through the agents’ physical dynamics.
Hiroki Tomioka +3 more
wiley +1 more source
First-order logic with metric betweenness – the case of non-definability of some graph classes
The metric betweenness of a connected graph and arbitrary graphs is FO definable. Moreover, several interesting classes of graphs with strong distance properties are shown to be FO definable using metric betweenness.
Jeny Jacob, Manoj Changat
doaj +1 more source
Distance perfectness of graphs
The author introduces a new generalization of perfect graphs. It turns out that the analogue of the weak perfect graph theorem is not true for this generalization. A subset \(Q\) of the vertex set \(V\) of a graph \(G\) is a \(k\)-distance clique in \(G\) if \(d_G(x,y)\leq k\) for any \(x,y\in Q\) and \(\langle Q\rangle_G\), the subgraph of \(G ...
openaire +1 more source
A new decomposition theorem for Berge graphs [PDF]
A hole in a graph is an induced cycle on at least four vertices. A graph is Berge if it has no odd hole and if its complement has no odd hole. In 2002, Chudnovsky, Robertson, Seymour and Thomas proved a decomposition theorem for Berge graphs saying that ...
Nicolas Trotignon
core
An enhanced universal gripper combining rigid mechanics with self‐adaptable fingers is presented for industrial automation. The novel six‐bar linkage with integrated compliant pad eliminates mechanical interference while enabling passive shape adaptation.
Muhammad Usman Khalid +7 more
wiley +1 more source
Computing a Clique Tree with the Algorithm Maximal Label Search
The algorithm MLS (Maximal Label Search) is a graph search algorithm that generalizes the algorithms Maximum Cardinality Search (MCS), Lexicographic Breadth-First Search (LexBFS), Lexicographic Depth-First Search (LexDFS) and Maximal Neighborhood Search (
Anne Berry, Geneviève Simonet
doaj +1 more source
Data‐Driven Bulldozer Blade Control for Autonomous Terrain Leveling
A simulation‐driven framework for autonomous bulldozer leveling is presented, combining high‐fidelity terramechanics simulation with a neural‐network‐based reduced‐order model. Gradient‐based optimization enables efficient, low‐level blade control that balances leveling quality and operation time.
Harry Zhang +5 more
wiley +1 more source

