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Page "Tree (graph theory)" ¶ 13
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forest and is
He is driven back by his yearning to the wintry homeland of his fathers in the forest of Tiveden ''.
How we travel through the forest is for each man's conscience.
The total adverse impact of disease, insects, fire, weather, destructive animals, and other forces on the uses and values of forest resources is not generally recognized.
This system is divided into a forest highway system, administered by the Secretary of Commerce, and a forest development road and trail system, administered by the Secretary of Agriculture.
Because administration of the forest highway system is a responsibility of the Secretary of Commerce with maintenance provided by the States and counties, this Development Program for the National Forests does not include estimates of the funds needed to maintain the forest highway system nor to construct the additions to it that are needed.
It is estimated that about 70,000 miles of forest highways will eventually be needed to fully serve the National Forests.
It is estimated that about 542,250 miles of forest development roads, and 80,000 miles of trails, constitute the system that will eventually be needed to obtain the maximum practicable yield and use of the wood, water, forage, and wildlife and recreation resources of the National Forests on a continuing basis.
The long-range objective of this Department is to provide and maintain a system of forest development roads and trails which will adequately service the National Forest System at the levels needed to meet expected needs and optimum production of products and services.
A stream which has all of its watershed within a national forest or other lands under good conservation practices is less likely to be affected by pollution than one passing through unrestricted logging or past an industrial area.
The mayhem in the forest of Kromy is a natural sequel.
A forest crop that has not been extensively cultivated is ivory nuts from the tagua palm.
The drier and more continental climate is beneficial for steppe-forests dominated by deciduous oaks, with areas of shrubland, montane forest, and valley forest.
One possible reason for this distribution is that the population preferred not to live in the forest except in troubled times.
The natural vegetation of the Andamans is tropical forest, with mangroves on the coast.
The more humid regions have a richer vegetation ; dense forest where the rainfall is greatest and variations of temperature least, conditions found chiefly on the tropical coasts, and in the west African equatorial basin with its extension towards the upper Nile ; and savanna interspersed with trees on the greater part of the plateaus, passing as the desert regions are approached into a scrub vegetation consisting of thorny acacias, etc.
South Africa is largely destitute of forest save in the lower valleys and coast regions.
The elephant ( though its range has become restricted through the attacks of hunters ) is found both in the savannas and forest regions, the latter being otherwise poor in large game, though the special habitat of the chimpanzee and gorilla.
So, a taiga or boreal forest is at the mercy of whatever abiotic stress factors may come along, while tropical zones are much less susceptible to such stressors.
The area is 14, 662. 8 hectares, which includes 42. 2 % ( 6, 186. 2 hectares ) agriculturally used area and 37. 7 % ( 5, 534. 9 hectares ) of forest.
The Battle is now in the Alte Pinakothek, which has the best collection of Altdorfer's paintings, including also his small St. George and the Dragon ( 1510 ), in oil on parchment, where the two figures are tiny and almost submerged in the lush, dense forest that towers over them.
There is a small opening of the forest on the lower right hand corner that provides a rest for your eyes.
The human form is completely absorbed by the thickness of the forest.

forest and undirected
More generally, any undirected graph ( not necessarily connected ) has a minimum spanning forest, which is a union of minimum spanning trees for its connected components.
Equivalently, a forest is an undirected cycle-free graph.
The corresponding concept for undirected graphs is a forest, an undirected graph without cycles.
If is an undirected graph, and is the family of sets of edges that form forests in, then is clearly closed under subsets ( removing edges from a forest leaves another forest ).
In graph-theoretic mathematics, the circuit rank or cyclomatic number of an undirected graph is the minimum number of edges to remove from to remove all its cycles, making it into a forest.

forest and graph
If the graph is not connected, then it finds a minimum spanning forest ( a minimum spanning tree for each connected component ).
* create a forest F ( a set of trees ), where each vertex in the graph is a separate tree
At the termination of the algorithm, the forest has only one component and forms a minimum spanning tree of the graph.
Choosing an orientation for a forest produces a special kind of directed acyclic graph called a polytree.
# REDIRECT tree ( graph theory )# forest
Every forest, and every cactus graph is outerplanar.
The weak planar dual graph of an embedded outerplanar graph ( the graph that has a vertex for every bounded face of the embedding, and an edge for every pair of adjacent bounded faces ) is a forest, and the weak planar dual of a Halin graph is an outerplanar graph.
A planar graph is outerplanar if and only if its weak dual is a forest, and it is Halin if and only if its weak dual is biconnected and outerplanar.
Now consider a maximal forest F in this graph.
In this variation of graph minor theory, a graph is always simplified after any edge contraction to eliminate its self-loops and multiple edges .< ref > is inconsistent about whether to allow self-loops and multiple adjacencies: he writes on p. 76 that " parallel edges and loops are allowed " but on p. 77 he states that " a graph is a forest if and only if it does not contain the triangle K < sub > 3 </ sub > as a minor ", true only for simple graphs .</ ref >
One is that a spanning forest is a subgraph that consists of a spanning tree in each connected component of a graph.
Another definition, common in graph theory, is that a spanning forest is any subgraph that is both a forest ( contains no cycles ) and spanning ( includes every vertex ).

forest and all
Was it not possible, after all, that the forest was in league with her and her child that its sympathy lay with the Culvers that she had erred in failing to understand this??
Red man or white man, pacifist or killer, the forest would accept them all -- knowing that it could thrive equally well on slaughter and beneficence ; ;
We are here because all our paths travel a blind course through a thick forest, seeking human dignity.
Beyond the forest all our paths merge into a single great highway which ends in the barren, eroded hills of Judea.
The presence or lack of access by road or trail has a direct and controlling influence on all phases of forest management and utilization such as: ( A )
Cameroon is sometimes described as " Africa in miniature " because it exhibits all the major climates and vegetation of the continent: mountains, desert, rain forest, savanna grassland, and ocean coastland.
There are 22. 9 million hectares ( 56. 5 million acres ) of forest ( 37 percent of the total land area ), but only 3. 4 million hectares ( 8. 4 million acres ) of dense forest, all in the south in the regions bordering the DRC.
Capybaras are semiaquatic mammals found throughout almost all countries of South America ( except Chile ) in densely forested areas near bodies of water, such as lakes, rivers, swamps, ponds and marshes, as well as flooded savannah and along rivers in tropical forest.
Recent examples of this trend include the conversion of all public transport in the city of Delhi from Diesel engines to CNG engines on the basis of the orders of the Delhi High Court ; the monitoring of forest use by the High Courts and the Supreme Court to ensure that there is no unjustified loss of forest cover ; and the directions mandating the disclosure of assets of electoral candidates for the Houses of Parliament and State Assembly.
The destruction of the forests to create agricultural land, logging, forest fires, plant diseases, and insect pests are all causes of the reduction in forest coverage.
Frankish * forhist is attested by Old High German forst " forest ", Middle Low German vorst " forest ", Old English fyrhþ " forest, woodland, game preserve, hunting ground " ( English frith ), and Old Norse fýri " coniferous forest ", all of which derive from Proto-Germanic * furhísa -, * furhíþija-" a fir-wood, coniferous forest ", from Proto-Indo-European * perk < sup > w </ sup > u-" a coniferous or mountain forest, wooded height ".
Unlike forest, these are all derived from Old English and were not borrowed from another language.
There were 26 cities, all connected by Sacbeob ( highways ), which were several kilometers long, up to 40 meters wide, and two to four meters above the ground, paved with stucco, that are clearly distinguishable from the air in the most extensive virgin tropical rain forest in Mesoamerica.
The Juruá River ( Portuguese Rio Juruá ; Spanish Río Yurúa ) is a southern affluent river of the Amazon River west of the Purus River, sharing with this the bottom of the immense inland Amazon depression, and having all the characteristics of the Purus as regards curvature, sluggishness and general features of the low, half-flooded forest country it traverses.
Ciano was amazed at the way that Laval fell in with the German demands, and thought it all typical Ribbentrop that he should remind Laval in a very tactless way how this forest had once served as Napoleon's headquarters.
The music it makes draws all the forest creatures near to wonder at its beauty.

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