Question: Are Cleyera and Calymmanthium the names of genus'?

Context paragraphs:
Linden: Linden is one of three English names for the tree genus "Tilia" (also known as "lime" and "basswood").  Several of the common names for species within the "Tilia" genus have "linden" in their names.  They include:

Calymmanthium: Calymmanthium is a genus of primitive tree-like cacti from northern Peru.  It is the only genus belonging to the tribe Calymmantheae.

Cleyera: Cleyera is a plant genus consisting of 18 species of tender, evergreen shrubs to small trees, mostly native to Mexico and Central America, and one from Eastern Asia.  In the APG III system it is placed in the family Pentaphylacaceae.

Auritella: Auritella is a genus of fungi in the family Inocybaceae.  The genus contains seven species found in temperate Australia and tropical Africa.  The genus was circumscribed in a 2006 publication by Brandon Matheny and Neil Bougher.  The original publication, however, was later discovered to be invalid because they were unintentionally described as provisional names ("nom.  prov.")  instead of new names ("sp.  nov.").  The authors properly published the genus later that year.

International Plant Names Index: The International Plant Names Index (IPNI) describes itself as "a database of the names and associated basic bibliographical details of seed plants, ferns and lycophytes." Coverage of plant names is best at the rank of species and genus.  It includes basic bibliographical details, associated with the names, and its goals include eliminating the need for repeated reference to primary sources for basic bibliographic information about plant names.

List of cloud types: The list of cloud types is a summarisation of the modern systems of cloud classification used in the troposphere, stratosphere, and mesosphere.  The ten basic genus-types in the troposphere have Latin names derived from five physical "forms".  These are, in approximate ascending order of instability or convective activity: "stratiform" sheets; "cirriform" wisps and patches; "stratocumuliform" patches, rolls, and ripples; "cumuliform" heaps and tufts, and "cumulonimbiform" towers that often have complex structures.  The forms are cross-classified by altitude range or level into ten basic genus types.  Most genera are divided into "species", some of which are common to more than one genus.  Most genera and species can be subdivided into "varieties", also with Latin names, some of which are common to more than one genus or species.  The essentials of the modern nomenclature system for tropospheric clouds were proposed by Luke Howard, a British manufacturing chemist and an amateur meteorologist with broad interests in science, in an 1802 presentation to the Askesian Society.  Since 1890, clouds have been classified and illustrated in cloud atlases.  Mesospheric and stratospheric clouds have their own classifications with common names for the major types and alpha-numeric nomenclature for the subtypes.

Macadamia: Macadamia is a genus of four species of trees indigenous to Australia and constituting part of the plant family Proteaceae.  They are native to north eastern New South Wales and central and south eastern Queensland.  The tree is commercially important for its fruit, the macadamia nuts (or simply "macadamia").  Other names include Queensland nut, bush nut, maroochi nut, bauple nut, and Hawaii nut.  In Australian Aboriginal languages, the fruit is known by names such as "bauple", "gyndl", "jindilli", and "boombera".  Previously, more species with disjunct distributions were named as members of this genus "Macadamia".  Genetics and morphological studies more recently published in 2008 show they have separated from the genus "Macadamia", correlating less closely than thought from earlier morphological studies.  The species previously named in the "Macadamia" genus may still be referred to overall by the descriptive, non-scientific name of macadamia; their disjunct distributions and current scientific names are:

Avenula: Avenula is a genus of Eurasian plants in the grass family.  Over 100 names have been proposed for species, subspecies, varieties, and other infraspecific taxa within "Avenula", but only one species is accepted.  The others names are all regarded as synonyms of other accepted names.  The only recognized species in the genus is Avenula pubescens, native to Europe and Asia from Iceland and Portugal to Xinjiang, Mongolia, and Siberia.  It is also naturalized in scattered locations in North America.

New Zealand parrot: The New Zealand parrot superfamily (Strigopoidea) consists of three genera of parrots, "Nestor", "Strigops", and the fossil "Nelepsittacus".  The genus "Nestor" consists of the kea, kaka, Norfolk Island kaka and Chatham Island kaka, while the genus "Strigops" contains the iconic "kākāpō".  All extant species are endemic to New Zealand.  The species of the genus "Nelepsittacus" were endemics of the main islands, while the two extinct species of the genus "Nestor" were found at the nearby oceanic islands such as Chatham Island of New Zealand, and Norfolk Island and adjacent Phillip Island.  The modern common species names, "kea, kākā", and "kākāpō", are the same as the original Māori names.

Thonningia: Thonningia is a monotypic genus of flowering plants in the family Balanophoraceae containing the single species Thonningia sanguinea.  It is distributed throughout much of southern and western Africa, particularly the tropical regions.  Common names for the plant include ground pineapple.  A familiar plant to humans, it has an extremely long list of common names in many African languages.  Many names are inspired by the resemblance of the plant's inflorescence to a pineapple or palm tree.  Some of the names can be translated as pineapple of the bush (from Anyi), duiker's kolanut (from Igala), and crown of the ground (from Yoruba).

Supporting paragraphs: Cleyera Calymmanthium
Answer: yes