In this paper we will develop the theoretical basis for deciding Hamiltonicity and computing the path covering number of P4- extendible and Pc-sparse graphs by ...
Sep 22, 1994 · In this paper we will show that deciding hamiltonicity and computing the path covering number are easy tasks forP 4-sparse andP 4-extendible ...
An efficient EREW algorithm for minimum path cover and Hamiltonicity on cographs · On a unique tree representation for P4-extendible graphs · P-Components and the ...
Sep 30, 2020 · We show that for the class of -free graphs, the three properties of being prism-hamiltonian, having a spanning 2-walk, and being -tough are all equivalent.
Missing: P4's. | Show results with:P4's.
Jan 6, 2019 · Our goal is to investigate the conjectures above for P4-free graphs, which have no in- duced subgraph isomorphic to a 4-vertex path. P4-free ...
Missing: Few | Show results with:Few
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We show that a large variety of NP-complete problems can be solved e ciently for graphs with 'few' P4's. We consider domination problems (domination, ...
Bibliographic details on Hamiltonicity in Graphs with Few P4's.
Feb 4, 2012 · A graph is uniquely hamiltonian if it has exactly one Hamilton cycle. As every edge in a cubic graph lies in an even number of Hamilton cycles, ...
Missing: P4's. | Show results with:P4's.
Toughness and prism-hamiltonicity of P4-free graphs | Request PDF
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The graph G is called prism-hamiltonian if it has a hamiltonian prism. Jung showed that every 1-tough P4-free graph with at least three vertices is hamiltonian.
Missing: Few | Show results with:Few
Apr 5, 2023 · There exists an absolute constant C > 0 such that any (n,d,λ)-graph with d/λ ≥ C contains a Hamilton cycle. Despite the plethora of incentives, ...