AbstractTutte produced the first example of a 3-connected cubic planar nonhamiltonian graph. On adding the condition that the graph must be bipartite and admitting 2-connected graphs. We prove that the smallest possible such graph has 26 points and is unique
A 2-connected non-hamiltonian graph G is a k-graph if for exactly k < |V(G)| vertices in G, removing...
AbstractA non-hamiltonian cyclically 4-edge-connected bicubic graph with 54 vertices is constructed....
AbstractLetGbe a uniquely hamiltonian graph onnvertices. We show thatGhas a vertex of degree at most...
Tutte produced the first example of a 3-connected cubic planar nonhamiltonian graph. On adding the c...
AbstractTutte produced the first example of a 3-connected cubic planar nonhamiltonian graph. On addi...
AbstractWe show that 3-connected cubic bipartite planar graphs with fewer than 66 vertices are Hamil...
AbstractWe show that all 3-connected cubic planar graphs on 36 or fewer vertices are hamiltonian, th...
AbstractA non-hamiltonian cyclically 4-edge-connected bicubic graph with 54 vertices is constructed....
AbstractWe show that all 3-connected cubic planar graphs on 36 or fewer vertices are hamiltonian, th...
It is shown that every bipartite plane cubic map of connectivity 2 has at least eight quadrilaterals...
AbstractBarnette’s conjecture is the statement that every cubic 3-connected bipartite planar graph i...
A conjecture of Barnette states that, every three connected cubic bipartite pla nar graph is Hamilto...
AbstractA non-hamiltonian cyclically 4-edge connected bicubic graph with 50 vertices is constructed....
AbstractThe class of 3-connected bipartite cubic graphs is shown to contain a non-Hamiltonian graph ...
AbstractBarnette’s conjecture is the statement that every cubic 3-connected bipartite planar graph i...
A 2-connected non-hamiltonian graph G is a k-graph if for exactly k < |V(G)| vertices in G, removing...
AbstractA non-hamiltonian cyclically 4-edge-connected bicubic graph with 54 vertices is constructed....
AbstractLetGbe a uniquely hamiltonian graph onnvertices. We show thatGhas a vertex of degree at most...
Tutte produced the first example of a 3-connected cubic planar nonhamiltonian graph. On adding the c...
AbstractTutte produced the first example of a 3-connected cubic planar nonhamiltonian graph. On addi...
AbstractWe show that 3-connected cubic bipartite planar graphs with fewer than 66 vertices are Hamil...
AbstractWe show that all 3-connected cubic planar graphs on 36 or fewer vertices are hamiltonian, th...
AbstractA non-hamiltonian cyclically 4-edge-connected bicubic graph with 54 vertices is constructed....
AbstractWe show that all 3-connected cubic planar graphs on 36 or fewer vertices are hamiltonian, th...
It is shown that every bipartite plane cubic map of connectivity 2 has at least eight quadrilaterals...
AbstractBarnette’s conjecture is the statement that every cubic 3-connected bipartite planar graph i...
A conjecture of Barnette states that, every three connected cubic bipartite pla nar graph is Hamilto...
AbstractA non-hamiltonian cyclically 4-edge connected bicubic graph with 50 vertices is constructed....
AbstractThe class of 3-connected bipartite cubic graphs is shown to contain a non-Hamiltonian graph ...
AbstractBarnette’s conjecture is the statement that every cubic 3-connected bipartite planar graph i...
A 2-connected non-hamiltonian graph G is a k-graph if for exactly k < |V(G)| vertices in G, removing...
AbstractA non-hamiltonian cyclically 4-edge-connected bicubic graph with 54 vertices is constructed....
AbstractLetGbe a uniquely hamiltonian graph onnvertices. We show thatGhas a vertex of degree at most...