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[PDF] Top 20 The Hamiltonian Cycle Problem on Circular-Arc Graphs

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The Hamiltonian Cycle Problem on Circular-Arc Graphs

The Hamiltonian Cycle Problem on Circular-Arc Graphs

... that arc z intersects both F (start(Q z ¯ )) and F (end(Q z ¯ )), and, hence, “z → Q z ¯ → z” is a Hamiltonian cycle of G(F ...of arc z from ... See full document

8

An Algorithm for the Feedback Vertex Set Problem on a Normal Helly Circular Arc Graph

An Algorithm for the Feedback Vertex Set Problem on a Normal Helly Circular Arc Graph

... In this paper, we proposed an algorithm that takes O n m ( + ) time to find an MFVS on an NHCG with n ver- tices and m edges. Our algorithm employs other algorithm to find maximal cliques [27] according to a method that ... See full document

9

Computation of a Minimum Average Distance Tree on Circular-arc Graphs

Computation of a Minimum Average Distance Tree on Circular-arc Graphs

... the problem of finding a MAD tree is NP- hard ...open problem to decide whether there exists a polynomial time algorithm to neighbourhood a MAD tree of a vertex weighted interval ...interval graphs ... See full document

7

The Hamiltonian Connectivity of Alphabet Supergrid Graphs

The Hamiltonian Connectivity of Alphabet Supergrid Graphs

... the Hamiltonian path and cycle problems for grid graphs are ...be Hamiltonian connected. Thus, rectangular grid graphs are not always Hamiltonian ...a Hamiltonian ... See full document

17

Sparse Kneser graphs are Hamiltonian

Sparse Kneser graphs are Hamiltonian

... Hamilton cycle is one of the oldest and most fundamental problems in graph theory and computer science, shown to be NP-complete in Karp’s seminal paper ...The problem originates from the 19th-century ... See full document

20

Sí, Se Puede (Yes, We Can), Culturally Relevant Biographies: A study on the impact of culturally relevant biographies on social studies instruction

Sí, Se Puede (Yes, We Can), Culturally Relevant Biographies: A study on the impact of culturally relevant biographies on social studies instruction

... Halin graphs are 1-edge-hamiltonian (each edge of H belongs to a hamiltonian ...Halin graphs are uniformly hamiltonian (each edge of H is contained in some hamiltonian cycles and ... See full document

184

Twin constrained Hamiltonian paths on threshold graphs: an approach to the minimum score separation problem

Twin constrained Hamiltonian paths on threshold graphs: an approach to the minimum score separation problem

... threshold graphs the twin- constrained Hamiltonian path problem could either be solvable in polynomial time (as the "ordinary" Hamiltonian path problem on threshold ... See full document

258

On k-step Hamiltonian bipartite and tripartite graphs

On k-step Hamiltonian bipartite and tripartite graphs

... considered graphs with a cycle which passes through every vertex exactly ...be Hamiltonian. The Hamiltonicity of a graph is the problem of determining for a given graph whether it contains a ... See full document

8

The Hamiltonian Connectivity of Rectangular Supergrid Graphs

The Hamiltonian Connectivity of Rectangular Supergrid Graphs

... The Hamiltonian related problems on supergrid graphs can be applied to control the stitching trace of a computerized sewing machine as stated in ...the Hamiltonian path problem on grid ... See full document

7

Domination Numbers, Chromatic Numbers and Total Domination Numbers of all Powers of Cycles using a Circular Arc Graph G

Domination Numbers, Chromatic Numbers and Total Domination Numbers of all Powers of Cycles using a Circular Arc Graph G

... We need to make explicit our assumptions about the kinds of computer we expect the algorithm to be executed on. The assumptions we make can have important consequences with respect to how fast a problem can be ... See full document

9

Hamiltonian Cayley Digraphs on Direct Products of Dihedral Groups

Hamiltonian Cayley Digraphs on Direct Products of Dihedral Groups

... fundamental problem is that of determining which Cayley digraphs are ...longstanding problem which can be traced back to bell ringing, or campanology, since the orders in which a set of church bells may be ... See full document

5

Particular Type of Hamiltonian Graphs and their Properties

Particular Type of Hamiltonian Graphs and their Properties

... edge-disjoined Hamiltonian circuits for complete graph of even order ...the problem of finding two edge-disjoined Hamiltonian cycles [18] considering the logical models of the ...disjoint ... See full document

6

The Hamiltonian Alternating Path Problem

The Hamiltonian Alternating Path Problem

... alternating Hamiltonian path problem and the alternat- ing Hamiltonian cycle problem are extensively studied (see ...alternating Hamiltonian cycle problem, even for ... See full document

10

The 2-Tuple Domination Problem on Circular-arc Graphs

The 2-Tuple Domination Problem on Circular-arc Graphs

... in graphs has many applications in several ...similar problem occurs when the maximum distance to a facility is fixed and one attempts to minimize the number of facilities necessary so that everyone is ... See full document

11

Numerical evidence for phase transitions of NP complete problems for instances drawn from Lévy stable distributions

Numerical evidence for phase transitions of NP complete problems for instances drawn from Lévy stable distributions

... os-R´enyi graphs are locally ‘tree-like’ ([81]), in that there is a low probability of finding a path that loops back of length less than ...in graphs whose degree distribution is chosen to be L´evy-Stable ... See full document

139

Hamiltonian Cycle in Complete Multipartite Graphs

Hamiltonian Cycle in Complete Multipartite Graphs

... connected graphs and complete multipartite graphs has been an interesting type of problem from the elementary to the high order research in the study of ...spanning cycle in a graph is named ... See full document

6

Bipartite Kneser graphs are Hamiltonian

Bipartite Kneser graphs are Hamiltonian

... Hamilton cycle — a cycle that visits every vertex exactly once — is a fundamental graph theoretical problem with a wide range of practical applications, shown to be NP-complete already in Karp’s ... See full document

10

An Algorithm for Computing a Hamiltonian Cycle of Given Points in a Polygonal Region

An Algorithm for Computing a Hamiltonian Cycle of Given Points in a Polygonal Region

... of Hamiltonian cycle or path. Although the original Hamiltonian path problem is proven to be an NPC problem [2], the time complexity of finding Hamiltonian cycles can be reduced ... See full document

8

Algorithm for the Vertex Connectivity Problem on Circular Trapezoid Graphs

Algorithm for the Vertex Connectivity Problem on Circular Trapezoid Graphs

... intersection graphs, we cannot determine the starting position of an algorithm uniquely for a circular intersection graph owing to the existence of feedback ...develop circular versions of the ... See full document

8

The Bondage Numbers Extended To Directed Circular Arc Graphs

The Bondage Numbers Extended To Directed Circular Arc Graphs

... Circular-arc graphs are rich in combinatorial structures and have found applications in several disciplines such as Biology, Ecology, Genetics, Computer Science and particularly useful in cyclic ...a ... See full document

7

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